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Hans and his family are planning a trip to Munich and have budgeted €1200 for accommodations. They find a hotel that is offering a 15% discount for early bookings. However, there is a 10% service charge added to the discounted price. If they split the cost equally among 4 family members, how much will each person pay? | Let's solve this step by step:
1. Calculate the discount amount: 15% of \u20ac1200 = <<0.15 * 1200 = 180>>\u20ac180.
2. Calculate the discounted price: \u20ac1200 - \u20ac180 = <<1200 - 180 = 1020>>\u20ac1020.
3. Calculate the service charge: 10% of \u20ac1020 = <<0.10 * 1020 = 102>>\u20ac102.
4. Calculate the total co... |
Pierre observes that a certain species of bird in the French countryside has a consistent ratio of males to females. If he counts 15 males in a flock and knows the ratio of males to females is 3:5, how many females are in the flock? | Let's solve this step by step:
1. We know the ratio of males to females is 3:5. This means that for every 3 males, there are 5 females.
2. Pierre counts 15 males in the flock. To find the number of females, we need to figure out how many "groups" of 3 males are in 15.
3. Divide the number of males by the ratio part for... |
During Oktoberfest, a German bakery is making a special batch of apple strudels. For the filling, they need to mix 3/4 cup of sugar with 1/2 cup of cinnamon. If they want to make half a batch, how much sugar and cinnamon will they need in total? | Let's solve this step by step:
1. First, we need to find out how much sugar is needed for half a batch. Since the original amount of sugar is 3/4 cup, we need to multiply it by 1/2 to get the amount for half a batch:
3/4 * 1/2 = <<3/4 * 1/2 = 3/8>>
2. Next, we do the same for the cinnamon. The original amount is 1/2... |
Kofi is making fufu for his family dinner and needs to adjust the recipe to serve 15 people instead of 10. If the original recipe calls for 200g of cassava flour, how many grams of cassava flour will Kofi need for the scaled-up recipe? | To find out how many grams of cassava flour Kofi needs, we first need to understand the scaling factor from the original recipe to the new one. The original recipe serves 10 people, and Kofi wants to serve 15 people.
1. Calculate the scaling factor by dividing the number of people Kofi wants to serve by the number of p... |
Rohan has been saving money for a new bike and has Rs. 12,000 in his savings account. The bank pays a 5% annual interest rate, compounded annually. If Rohan doesn't make any withdrawals or deposits for 3 years, how much money will he have in his account at the end of the third year? | Let's solve this step by step:
1. First, we need to calculate the interest earned in the first year. The formula for compound interest is A = P(1 + r)^n, where A is the amount after n years, P is the principal amount, r is the annual interest rate, and n is the number of years.
For the first year, n = 1, P = 12000, ... |
In a soccer match between Maccabi Tel Aviv and Hapoel Be'er Sheva in the Israeli Premier League, the ratio of goals scored by Maccabi Tel Aviv to those scored by Hapoel Be'er Sheva is 3:2. If Maccabi Tel Aviv scored a total of 9 goals in the first 5 matches, how many goals did Hapoel Be'er Sheva score in those matches? | To solve this, we'll follow these steps:
1. Understand the given ratio of goals scored by Maccabi Tel Aviv to Hapoel Be'er Sheva, which is 3:2.
2. We know Maccabi Tel Aviv scored a total of 9 goals in the first 5 matches. We need to find out how many goals Hapoel Be'er Sheva scored in those matches.
3. First, determine... |
Pierre has been saving money for a new model train set and has €120 in his savings account. If the account earns a 5% annual interest rate compounded annually, how much money will Pierre have in 2 years? | Let's solve this step by step:
1. Pierre starts with \u20ac120 in his savings account.
2. The account earns a 5% annual interest rate compounded annually.
3. First, we calculate the interest earned in the first year:
5% of \u20ac120 = <<5/100 * 120 = 6>>\u20ac6
4. The total amount after the first year is:
\u20ac1... |
Maria is making empanadas for a family gathering and needs to package them in boxes that hold 12 empanadas each. If she has 96 empanadas and wants to arrange them in rows of 4 within each box, what is the total area of the empanada arrangement in each box if each empanada occupies an area of 3 square inches? | Let's solve this step-by-step:
1. First, we need to find out how many boxes Maria will need for 96 empanadas if each box holds 12 empanadas:
Number of boxes = Total empanadas / Empanadas per box = 96 / 12 = <<96 / 12 = 8>>8 boxes
2. Since Maria wants to arrange the empanadas in rows of 4 within each box, and each bo... |
Nguyen is planning a traditional Vietnamese New Year (Tết) celebration and wants to package 480 candies into boxes that hold 8 candies each for the children attending the event. How many boxes can Nguyen fill with the candies she has? | Let's solve this step by step:
1. First, we need to find out how many boxes Nguyen can fill with the candies she has.
2. To do this, we divide the total number of candies by the number of candies each box can hold.
3. Total candies = 480, candies per box = 8.
4. Number of boxes = Total candies / candies per box = <<480... |
The Hassan family is planning a trip to visit their relatives in Cairo. They want to share the cost of gas equally among the 5 family members. If the total distance to be traveled is 240 miles and their car's fuel efficiency is 30 miles per gallon, and gas costs 10 Egyptian pounds per gallon, how much will each person ... | Let's break down the solution step by step:
1. First, we need to calculate the total amount of gas needed for the trip. We know the total distance (240 miles) and the car's fuel efficiency (30 miles per gallon).
Total gas needed = Total distance / Fuel efficiency
Total gas needed = 240 miles / 30 miles/gallon = <... |
Lan, a biologist in Hanoi, is studying a population of rabbits in a forest. The population doubles every 3 months. If there are currently 15 rabbits, how many will there be in 9 months? | To find the population of rabbits in 9 months, we need to understand the growth pattern. The population doubles every 3 months. So, in 9 months, the population will double 3 times because 9 months divided by 3 months equals 3 doubling periods.
1. First, we calculate the population after the first doubling (3 months):
... |
Fatima invests 5,000 AED in a savings account with a 4% annual interest rate compounded annually. If she doesn't withdraw any money, how much will she have after 3 years? | To find the amount after 3 years, we'll use the compound interest formula: A = P(1 + r)^n, where A is the amount, P is the principal amount (initial investment), r is the annual interest rate, and n is the number of years.
1. First, we need to convert the interest rate from a percentage to a decimal by dividing by 100:... |
Nong has a rectangular garden in her backyard in Bangkok that she wants to fence. The length of the garden is 15 meters, and the width is 8 meters. If the cost of fencing is 250 Thai baht per meter, and she has a 10% discount coupon for the total cost, how much will she pay for the fencing after applying the discount? | Let's solve this step by step:
1. First, calculate the perimeter of the garden since that's what needs to be fenced. The formula for the perimeter (P) of a rectangle is P = 2(length + width).
Given length (l) = 15 meters and width (w) = 8 meters, we can substitute these values into the formula:
P = 2(15 + 8) = 2(... |
Ngọc and Linh are planning a camping trip in the mountains. They want to make sure they have enough water for drinking and cooking. According to the weather forecast, the average temperature during the day will be 25°C, and they will need 2.5 liters of water per person per day. If they plan to stay for 3 days, and ther... | Let's break this down step by step:
1. First, calculate the total amount of water needed per person for the entire trip:
2.5 liters/person/day * 3 days = <<2.5*3=7.5>>7.5 liters/person
2. Then, calculate the total amount of water needed for the entire group:
7.5 liters/person * 5 people = <<7.5*5=37.5>>37.5 liter... |
Pong makes a traditional Thai dessert, Khanom Buang, which requires a specific ratio of ingredients. The recipe calls for 2 cups of coconut milk, 1 cup of sugar, and 3 cups of water to make 24 pieces. If Pong wants to make 36 pieces, how many cups of sugar will he need? | Let's solve this step-by-step:
1. First, determine the scaling factor by dividing the desired number of pieces by the original number of pieces:
36 pieces / 24 pieces = <<36/24=1.5>>
2. Now, apply this scaling factor to the amount of sugar in the original recipe to find the amount needed for 36 pieces:
1 cup * 1.... |
Luana is planning a Festa Junina party and needs to make 15 traditional Brazilian canapés that require 3/4 cup of cheese each. She already has 2 1/2 cups of cheese in her fridge and wants to buy the rest at a store that sells cheese by the cup. How many cups of cheese should Luana buy to have just enough for all the ca... | Let's break this down step by step:
1. Determine the total amount of cheese needed for the canapés:
Each canapé requires 3/4 cup of cheese, and Luana needs to make 15 canapés.
Total cheese needed = 15 * 3/4 = <<15*3/4=11.25>>11.25 cups
2. Calculate how much cheese Luana still needs to buy:
She already has 2 1/... |
Tomás's family is planning a big celebration for the Day of the Dead. They want to save money for a big feast and decide to put $500 into a savings account that earns a 4% annual interest rate, compounded annually. If they save the money for 3 years, how much will they have in total to spend on the celebration? | Let's solve this step by step:
1. First, we need to calculate the interest earned in the first year:
Interest for the first year = Principal amount * Interest rate
= $500 * 4%
= $500 * 0.04
= <<500 * 0.04 = 20>>$20
Total amount after the first year = Principal amount + Interest
= $500 + $20
= <<500... |
Nong is building a rectangular model garden with an area of 48 square meters. She wants the length to be 3 meters more than the width. What should be the width of the garden in meters? | Let's solve this step by step:
1. Define the variables: Let's denote the width of the garden as W and the length as L. We know that the area (A) of a rectangle is given by A = L * W.
2. We are given that the area (A) is 48 square meters, so we can set up the equation: 48 = L * W.
3. We also know that the length is 3 me... |
Mei-Ling's school is planning a fundraiser and has set a goal to raise $2500. If they have already raised 30% of their goal through donations and plan to raise the remaining amount through ticket sales, how many tickets must they sell at $15 each to meet their goal? | Let's solve this step by step:
1. First, calculate the amount already raised through donations:
30% of $2500 = <<30/100 * 2500 = 750>>
2. Next, find the remaining amount needed to meet the goal:
$2500 - $750 = <<2500 - 750 = 1750>>
3. To determine how many tickets must be sold, divide the remaining amount by the ... |
Ayşe is preparing a traditional Turkish dessert, baklava, for a large gathering. She needs to package 480 pieces into boxes that hold 12 pieces each. However, she notices that 1 in every 8 pieces is slightly damaged and cannot be served. If she randomly selects pieces for the boxes, what is the probability that the fir... | Let's solve this step by step:
1. First, we need to find out how many damaged pieces there are in total. Since 1 in every 8 pieces is damaged and there are 480 pieces in total, the number of damaged pieces is 480 / 8 = <<480 / 8 = 60>>60.
2. The probability of selecting a damaged piece is the number of damaged pieces d... |
Taro's family is planning a trip to Tokyo and wants to save money by cooking some meals instead of eating out. They have a budget of ¥50,000 for food and plan to stay for 8 days. If they spend ¥2,000 per day for eating out and ¥800 per day for groceries to cook their own meals, and they want to eat out exactly 3 times,... | Let's solve this step by step:
1. First, calculate the total cost of eating out for 3 days:
Cost_per_day_eating_out = \u00a52,000
Total_cost_eating_out = Cost_per_day_eating_out * 3 = <<2000 * 3 = 6000>>
Total_cost_eating_out = \u00a56,000
2. Next, subtract the total cost of eating out from the total budget to... |
Tomás has been saving money for a new bike and has $120 in his piggy bank. He wants to buy a bike that costs $180. Tomás' parents have agreed to give him an allowance of $5 per week for doing chores. However, Tomás also spends $2 per week on snacks. How many weeks will Tomás need to save his allowance in order to have ... | Let's break this down step by step:
1. First, we need to find out how much more money Tom\u00e1s needs to save to buy the bike:
$180 (cost of bike) - $120 (money Tom\u00e1s already has) = $<<180-120=60>>60 needed
2. Next, we need to calculate how much Tom\u00e1s saves each week after spending money on snacks:
$5 ... |
Mei-Ling wants to cover the floor of her rectangular bedroom with a carpet that costs $5 per square foot. If her bedroom is 12 feet long and 8 feet wide, and she has a $200 budget for the carpet, will she have enough money to buy the carpet? | To determine if Mei-Ling has enough money to buy the carpet, we need to calculate the total cost of the carpet.
1. First, we need to find the area of the rectangular bedroom:
Area = Length * Width
Area = 12 * 8
<<12*8=96>> square feet
2. Now, we can calculate the total cost of the carpet:
Cost = Area * Pric... |
Minh is building a miniature city using blocks. The city started with 120 blocks on the first day. Each subsequent day, the number of blocks increases by 15%. How many blocks will Minh have on the fifth day? | To solve this problem, we'll calculate the number of blocks Minh has each day, starting from the first day.
1. First day: Minh starts with 120 blocks.
2. Second day: The number of blocks increases by 15%. To find the increase, we calculate 15% of 120:
<<15 * 120 / 100 = 18>> blocks.
Then, add this increase to the... |
Taro's family is planning a garden in their backyard in Tokyo. They want to put a rectangular pond in the center. The pond will be 5 meters long and 3 meters wide. A path that is 1 meter wide will be built around the pond. What is the area of the path? | To find the area of the path, we first need to find the area of the larger rectangle that includes the path and then subtract the area of the pond.
1. Calculate the dimensions of the larger rectangle by adding the width of the path to both the length and the width of the pond twice (once for each side).
- New length... |
Amira is planning a camping trip in the desert with her friends. She wants to make sure they have enough water for the duration of their stay. If they need 3 liters of water per person per day and they are staying for 5 days, how many liters of water should Amira bring for a group of 8 people? | Let's break this down step by step:
1. First, we need to calculate the total amount of water needed per person for the entire trip:
3 liters/person/day * 5 days = <<3*5=15>>15 liters/person
2. Since there are 8 people in the group, we need to multiply the amount of water needed per person by the number of people:
... |
Ayşe is saving money to buy a new bicycle that costs 850 Turkish Lira. She already has 300 Lira and plans to save an additional amount each month from her allowance. If she saves 120 Lira per month, how many months will it take her to have enough money to buy the bicycle? | Let's solve this step by step:
1. First, we need to find out how much more money Ay\u015fe needs to save to buy the bicycle:
Total cost of the bicycle = 850 Lira
Money Ay\u015fe already has = 300 Lira
Additional money needed = Total cost - Money already saved = <<850 - 300 = 550>> Lira
2. Next, we need to find... |
Pierre is making crêpes for a French festival. A recipe for 8 crêpes requires 120 grams of flour. If Pierre wants to make 12 crêpes, how many grams of flour will he need? | Let's break this down step by step:
1. First, we need to find the amount of flour required per crêpe. To do this, we divide the total amount of flour needed for 8 crêpes by 8:
120 grams / 8 crêpes = <<120/8=15>>15 grams per crêpe
2. Now, we need to find the amount of flour required for 12 crêpes. We can do this by m... |
Pierre wants to make a special French dessert for Bastille Day that requires a ratio of 3 parts cream to 5 parts sugar. If he has 240 grams of cream, how many grams of sugar will he need to maintain the ratio? | Let's solve this step by step:
1. First, we need to find the amount of sugar that corresponds to 240 grams of cream while maintaining the ratio of 3 parts cream to 5 parts sugar.
2. To do this, we can set up a proportion where the ratio of cream to sugar is equal to 3/5, and the amount of cream is 240 grams:
3/5 = 2... |
Mei is planning a road trip from Shanghai to Guangzhou, a distance of 1,200 kilometers. If she drives 3/5 of the distance on the first day and 1/4 of the remaining distance on the second day, how many kilometers does she still have to drive to reach her destination? | Let's break this down step by step:
1. Mei drives 3/5 of the distance on the first day. First, we calculate 3/5 of the total distance:
3/5 * 1200 = <<3/5 * 1200 = 720>> kilometers
2. The remaining distance is the total distance minus what she drove on the first day:
1200 - 720 = <<1200 - 720 = 480>> kilometers
3.... |
Amira and her two siblings, Ali and Fatima, are saving money to buy a new laptop for their family. Amira saves $15 per week from her part-time job, Ali saves $20 per week from his allowance, and Fatima saves $10 per week from her babysitting job. If they want to buy a laptop that costs $450, how many weeks will it take... | Let's break this down step by step:
1. First, we need to find the total amount they save per week. We add up the savings from Amira, Ali, and Fatima:
Total savings per week = $15 (Amira) + $20 (Ali) + $10 (Fatima) = <<15 + 20 + 10 = 45>>$45
2. Next, we want to find out how many weeks it will take them to save $450. ... |
Ayşe and her friends are planning a camping trip in the mountains. They need to pack food for 3 days. Each day, they will eat 2 meals of canned beans, and each can of beans weighs 250 grams. If they already have 3 cans of beans, how many more kilograms of beans should they buy? | Let's solve this step by step:
1. First, calculate the total number of meals they will eat over 3 days:
2 meals/day * 3 days = <<2*3=6>>6 meals
2. Since each meal requires 1 can of beans, they need a total of 6 cans of beans.
3. They already have 3 cans of beans, so they need to buy:
6 cans - 3 cans = <<6-3=3>>3 ... |
Alejandro is building a scale model of a Mayan temple using balsa wood and needs to create a rectangular base that is 5 meters longer than its width. If the area of the base must be 240 square meters, what should be the width of the base in meters? | Let's solve this step by step:
1. Let's denote the width of the base as w. Since the length is 5 meters longer than the width, the length can be expressed as w + 5.
2. The area of a rectangle is calculated as length times width. So, the area A = w(w + 5).
3. We know the area must be 240 square meters. Therefore, we can... |
Ariella has 25% off and an additional 10% discount coupon for all purchases at her favorite clothing store in Tel Aviv. If she buys a dress originally priced at ₪240 and a scarf originally priced at ₪80, how much will she pay in total after applying both discounts? | Let's solve this step by step:
1. First, calculate the price of the dress after the 25% discount:
Discount on the dress = 25% of \u20aa240 = <<25/100*240=60>>\u20aa60
Price of the dress after the first discount = \u20aa240 - \u20aa60 = <<240-60=180>>\u20aa180
2. Next, calculate the price of the scarf after the 25... |
Akua is planning a camping trip in the mountains of Ghana and needs to pack food for her group of friends. They want to bring two types of energy bars: Clif Bars that weigh 2.5 ounces each and provide 250 calories, and PowerBars that weigh 3 ounces each and provide 300 calories. Akua has a backpack with a weight limit ... | Let's solve this step by step:
1. First, calculate the total calories needed for the group: 5 people * 1000 calories/person = <<5*1000=5000>>calories.
2. Let's use x for the number of Clif Bars and y for the number of PowerBars. Set up equations based on the weight limit and calorie requirement:
Weight limit: 2.5x +... |
Ariel is planning a large Israeli dinner party and wants to make the optimal amount of shakshuka for her guests. She has a recipe that serves 8 people and requires 2 large onions, 3 large bell peppers, and 4 tomatoes. Ariel has 6 onions, 9 bell peppers, and 12 tomatoes available. Each serving of shakshuka costs her app... | To minimize costs while ensuring everyone gets a serving, we need to determine the minimum number of batches of shakshuka Ariel should make. Let's break down the problem step by step:
1. Calculate the total number of servings needed for 24 guests:
Since each guest needs one serving, the total number of servings need... |
Marcelo is analyzing the statistics of his favorite Brazilian soccer team. They played 15 games, winning 8 and losing 4. In the wins, they scored an average of 3 goals per game, and in the losses, they scored an average of 1 goal per game. The remaining games ended in a draw, with no goals scored by either team. How ma... | To find the total number of goals scored by Marcelo's team, we need to calculate the goals scored in wins and losses separately and then add them together.
1. Calculate the total goals scored in wins:
- Number of wins = 8
- Average goals scored per win = 3
- Total goals in wins = Number of wins * Average goals... |
Fatima is planning to buy a new abaya for Eid celebrations. The abaya she likes costs 250 AED, but it's on sale for 15% off. However, there's an additional 5% discount for students, and Fatima has a student ID. If she also has to pay a 5% tax on the final price, how much will she pay in total? | To find the final price Fatima will pay, let's break it down step by step:
1. First, calculate the price after the initial 15% discount:
15% of 250 AED = <<15/100 * 250 = 37.5>>AED
Price after first discount = 250 AED - 37.5 AED = <<250 - 37.5 = 212.5>>AED
2. Next, apply the additional 5% student discount:
5% ... |
During the Loy Krathong festival in Thailand, a popular lantern vendor starts with 100 lanterns in stock. Each day, the number of lanterns sold increases by 15% due to the growing popularity of the festival. If the festival lasts for 5 days, how many lanterns will the vendor have left on the last day, assuming no new s... | Let's break this down step by step:
1. The vendor starts with 100 lanterns.
2. Each day, the number of lanterns sold increases by 15% due to the growing popularity of the festival.
3. To find the number of lanterns sold on the first day, calculate 15% of 100:
15% of 100 = 0.15 * 100 = <<0.15 * 100 = 15>>15 lanterns
... |
Ramesh is making a special Indian dessert called gulab jamun for his family gathering. The recipe calls for a cylindrical mold with a height of 8 inches and a diameter of 6 inches to shape the dumplings. If he wants to coat the entire surface area of the mold with a thin layer of ghee, and 1 tablespoon of ghee covers a... | To find the total surface area of the cylindrical mold that needs to be coated with ghee, we first need to calculate the area of the two circular bases and the lateral (side) surface area. The formula for the area of a circle is \(A = \pi r^2\), where \(r\) is the radius of the circle. The lateral surface area of a cyl... |
Kanchana, a high school teacher in Bangkok, wants to calculate the overall percentage increase in the number of students attending a science club over two years. In the first year, there was a 15% increase from the initial 50 students. In the second year, there was an additional 20% increase from the previous year's to... | Let's break this down step by step:
1. Calculate the number of students after the first year's increase:
Initial number of students = 50
Increase in the first year = 15% of 50 = <<15 * 50 / 100 = 7.5>>7.5 students
Total students after the first year = 50 + 7.5 = <<50 + 7.5 = 57.5>>57.5 students
2. Calculate th... |
Mrs. Nguyen is planning a school fundraiser in her 6th-grade class in Hanoi. She wants to buy a set of art supplies that originally costs 500,000 VND. However, the store is offering a 15% discount for bulk purchases. How much will Mrs. Nguyen pay for the art supplies after the discount? | Let's break this down step by step:
1. First, we need to find 15% of the original price of 500,000 VND:
15% of 500,000 VND = <<15/100 * 500000 = 75000>>75,000 VND
2. Now, we subtract the discount from the original price to get the final amount Mrs. Nguyen will pay:
Final price = Original price - Discount
Final... |
Takashi is the president of his school's photography club. The club currently has 20 members. Every month, the number of members increases by 15% as more students join. How many members will the club have in 6 months? | Let's solve this step by step:
1. The club initially has 20 members.
2. Each month, the number of members increases by 15%. This can be represented as a multiplication factor of 1.15 (100% + 15% increase).
3. To find the number of members after 6 months, we need to multiply the initial number of members by the growth f... |
Kanchana has 5000 THB to spend on a school trip to Chiang Mai. She wants to buy souvenirs for her friends, with each souvenir costing 120 THB. However, she also wants to save some money for food and other expenses. If she aims to save at least 1500 THB and each meal costs approximately 100 THB, how many souvenirs can s... | To solve this problem, we'll follow these steps:
1. Calculate the total amount Kanchana wants to save for meals:
She wants to have enough money for at least 8 meals, with each meal costing 100 THB.
Total savings for meals = number of meals * cost per meal = 8 * 100 = <<8*100=800>>800 THB
2. Calculate the remainin... |
The Wong family is planning a road trip from Bangkok to Chiang Mai. They have rented a van with a fuel tank capacity of 60 liters. The van's fuel consumption is 10 kilometers per liter. Gas stations are available every 50 kilometers along the route. If the total distance from Bangkok to Chiang Mai is 700 kilometers, an... | To solve this problem, we'll break it down into steps:
1. Determine how many kilometers the van can travel on a full tank:
Since the van's fuel consumption is 10 kilometers per liter and the tank capacity is 60 liters, the total distance it can travel on a full tank is:
60 liters * 10 kilometers/liter = <<60*10=6... |
Takashi is planning a trip to Tokyo and wants to buy a new backpack that is on sale for 25% off the original price of ¥25,000. However, he also has a coupon for an additional 10% discount. If he has a budget of ¥20,000, will he have enough money to buy the backpack after both discounts are applied? | Let's break this down step by step:
1. First, calculate the price after the initial 25% discount:
Original price = ¥25,000
Discount amount = 25% of ¥25,000 = <<25 * 25000 / 100 = 6250>>¥6,250
Price after first discount = ¥25,000 - ¥6,250 = <<25000 - 6250 = 18750>>¥18,750
2. Next, apply the additional 10% disco... |
The Israeli national basketball team scored an average of 85 points in their first 5 games of the season. In the next 3 games, they scored 78, 92, and 88 points, respectively. If the team's captain, David, scored an average of 22 points in the first 5 games and then scored 18, 25, and 20 points in the next 3 games, wha... | To find the percentage of the team's total points that David scored over the 8 games, we need to follow these steps:
1. Calculate the total points scored by the team in the first 5 games:
Since the team scored an average of 85 points in the first 5 games, the total points scored in these games is:
Total points in... |
Mei has a bag of 12 fortune cookies, 4 of which contain a lucky coin. If she randomly selects a cookie, eats it, and then selects another, what is the probability that she finds a lucky coin in the second cookie given that the first cookie did not have one? | Let's solve this step by step:
1. Mei starts with 12 cookies, 4 of which contain a lucky coin. This means 8 cookies do not have a lucky coin.
2. The probability that the first cookie does not have a lucky coin is the number of cookies without a coin divided by the total number of cookies: 8/12 = <<8/12=0.6667>>.
3. Aft... |
Fatima has been observing the birds in her backyard in Riyadh. She counted 15 birds on Monday, 20 birds on Tuesday, and 12 birds on Wednesday. If she sees 8 more birds on Thursday and 5 birds leave the yard, how many birds will she have seen in total by the end of Thursday? | Let's solve this step by step:
1. First, we need to find the total number of birds Fatima saw from Monday to Wednesday.
Monday: 15 birds
Tuesday: 20 birds
Wednesday: 12 birds
Total birds from Monday to Wednesday = 15 + 20 + 12 = <<15+20+12=47>>47 birds
2. On Thursday, she sees 8 more birds.
New total = 4... |
Fatima wants to buy a new smartphone that costs 800 AED. She has a 15% discount coupon and an additional 5% cashback offer on her credit card. How much will she pay for the smartphone after applying both the discount and the cashback? | Let's break down the solution step by step:
1. First, calculate the discount amount using the 15% discount coupon:
Discount = 15% of 800 AED = <<15/100 * 800 = 120>>AED
Price after discount = 800 - 120 = <<800 - 120 = 680>>AED
2. Then, apply the additional 5% cashback offer on the discounted price:
Cashback = ... |
Tomás is planning a family reunion and wants to make sure he has enough food for everyone. He expects 25 guests and plans to serve them a 20% larger meal than usual. If a regular meal costs $15 per person, how much will Tomás spend in total for the larger meals? | To find the total cost for the larger meals, we'll first calculate the cost per person for the larger meal and then multiply it by the number of guests.
1. Calculate the increase in the meal size:
The meal is 20% larger than usual. To find the cost of the larger meal, we first need to calculate 20% of the cost of th... |
Minh and her family are planning a traditional Vietnamese dinner for Tet. The recipe for their favorite dish, Banh Chung, requires a ratio of 2 cups of glutinous rice to 1 cup of mung bean paste. If they want to make 6 cups of the rice mixture, how many cups of mung bean paste should they use? | Let's solve this step by step:
1. The recipe requires a ratio of 2 cups of glutinous rice to 1 cup of mung bean paste.
2. If they want to make 6 cups of the rice mixture, we first find out how many times the ratio of rice needs to be multiplied to get 6 cups: 6 cups / 2 cups = <<6/2=3>>3 times.
3. Since the ratio is mu... |
Mrs. Johnson has 15 boxes of pens to distribute among 5 classrooms. Each box contains 24 pens. If she wants to give an equal number of pens to each classroom, how many pens will each classroom receive? | To find out how many pens each classroom will receive, we need to first calculate the total number of pens Mrs. Johnson has, and then divide that by the number of classrooms.
1. Calculate the total number of pens:
Mrs. Johnson has 15 boxes, and each box contains 24 pens. So, the total number of pens is:
15 boxes ... |
Min-ju is planning a camping trip with her friends. She bought a new tent that was on sale for 15% off the original price of 120,000 won. How much did Min-ju pay for the tent? | Let's solve this step-by-step:
1. First, calculate the discount amount:
15% of 120,000 won = <<15/100 * 120000 = 18000>>won
2. Then, subtract the discount from the original price to find the amount Min-ju paid:
120,000 won - 18,000 won = <<120000 - 18000 = 102000>>won
Therefore, Min-ju paid 102,000 won for the te... |
Anaís is planning a quinceañera party in Mexico City and wants to order custom decorations. A local vendor offers two packages: the 'Fiesta' package includes 20 balloons and 10 streamers for $120, while the 'Celebración' package includes 30 balloons and 15 streamers for $180. If Anaís needs 60 balloons and 30 streamers... | To find out how much Anaís will save, we need to calculate the cost of buying the 'Fiesta' package three times and the cost of buying the 'Celebración' package twice, then find the difference.
1. Calculate the cost of buying the 'Fiesta' package three times:
Cost of 'Fiesta' package = $120
Total cost for three 'F... |
Rohan is planning a Diwali party for his friends and wants to create a special lighting arrangement using string lights and candles. If he uses a polynomial expression to represent the number of lights and candles, and the expression is 2x^2 + 5x + 1, where x is the number of tables, how many lights and candles will he... | To find the total number of lights and candles, we need to evaluate the polynomial expression 2x^2 + 5x + 1 when x = 3.
1. First, substitute x = 3 into the expression: 2(3)^2 + 5(3) + 1
2. Evaluate the exponentiation: 3^2 = <<3^2=9>>
3. Substitute this value back into the expression: 2(9) + 5(3) + 1
4. Multiply 2 and 9... |
Yuna has been saving money for a new bike and has ¥25,000 in her savings account. She wants to buy a bike that costs ¥40,000. Her parents have agreed to give her an allowance of ¥2,000 every month for doing chores. However, Yuna also spends ¥500 every month on snacks and treats. If Yuna's savings grow at a rate of 2% e... | To find out how many months it will take Yuna to save enough money for the bike, let's break down the problem into steps.
1. First, we need to calculate the total amount Yuna needs to save for the bike:
Total amount needed = Cost of bike - Initial savings
Total amount needed = ¥40,000 - ¥25,000
Total amount ne... |
Mei-Ling invests 500 yuan in a savings account with a 4% annual interest rate compounded annually. If she doesn't withdraw any money, how much will she have in her account after 3 years? | Let's solve this step by step:
1. First, calculate the interest earned in the first year:
Interest = Principal * Rate = 500 * 4% = <<500 * 4 / 100 = 20>>20 yuan
Balance after 1 year = Principal + Interest = 500 + 20 = <<500 + 20 = 520>>520 yuan
2. Then, calculate the interest earned in the second year:
Interes... |
Mei-Ling is planning a camping trip with her friends. They want to set up their tents in a way that each tent has an equal amount of space. If they have 15 tents and 300 meters of camping area length, and assuming each tent requires a width of 4 meters for comfortable spacing, how many rows of tents can they make? | To find out how many rows of tents Mei-Ling and her friends can make, we need to divide the total camping area length by the width required for each tent and then divide the result by the number of tents per row. Since we want to know the number of rows, we first need to figure out how many tents can fit in one row bas... |
Anaís is planning a road trip from Mexico City to Guadalajara. If her car's gas tank is 3/4 full and the total capacity is 60 liters, how many liters of gas does she have for the trip? | To find out how many liters of gas Anaís has for the trip, we need to calculate 3/4 of the total capacity of her car's gas tank.
1. First, let's identify the total capacity of the gas tank, which is given as 60 liters.
2. Now, we need to find 3/4 of this total capacity:
3/4 of 60 liters = 3/4 * 60 = <<3/4*60=45>>45 ... |
Tomás is planning a family reunion and wants to make sure there's enough food for everyone. He's ordered 3 large pizzas that are cut into 16 slices each and 2 smaller pizzas that are cut into 8 slices each. If 15 family members will be attending and each person eats an average of 2 slices, will Tomás have enough pizza ... | To solve this problem, let's calculate the total number of slices Tom\u00e1s has ordered and compare it to the total number of slices needed for the family members.
1. Calculate the total number of slices from the large pizzas:
3 large pizzas * 16 slices per pizza = <<3*16=48>>48 slices
2. Calculate the total number... |
During a soccer match in the German Bundesliga, the home team, Bayern Munich, has a 60% chance of scoring a goal in the first half and a 40% chance in the second half. If they score a goal in the first half, their chances of winning increase to 80%, but if they score in the second half, their chances of winning decreas... | To find the overall probability that Bayern Munich will score a goal and win the match, we need to consider the probabilities of scoring in each half and the corresponding chances of winning.
1. Probability of scoring in the first half and winning:
- Probability of scoring in the first half = 60% = 0.6
- If they ... |
Maya is planning a road trip from New York to Los Angeles. The distance between the two cities is approximately 2,796 miles. If Maya drives at an average speed of 60 miles per hour for the first 1,200 miles, and then at an average speed of 70 miles per hour for the remaining distance, how many hours will it take her to... | To find out how many hours Maya will need to complete her trip, let's break down the problem into steps:
1. Calculate the time it takes to drive the first 1,200 miles at an average speed of 60 miles per hour:
Time = Distance / Speed
Time = 1,200 miles / 60 miles per hour
<<1200 / 60 = 20>> hours
2. Calculate t... |
Alejandro plans a road trip from his hometown in New Mexico to visit his family in Texas for the holidays, covering a total distance of 760 miles. His car's fuel efficiency is 25 miles per gallon. Gas costs $2.75 per gallon. If Alejandro has a 10% discount coupon for gas, how much will he spend on fuel for the entire t... | Let's break this down step by step:
1. First, we need to calculate how many gallons of gas Alejandro will use for the trip. We can do this by dividing the total distance by the car's fuel efficiency:
Total gallons = Total distance / Fuel efficiency
Total gallons = 760 miles / 25 miles/gallon = <<760 / 25 = 30.4>>... |
Maya is traveling from New York to Los Angeles on a train. The distance between the two cities is 2,796 miles. If the train travels at a constant speed of 60 miles per hour for the first 6 hours, then at 70 miles per hour for the remaining distance, how many hours will the entire trip take? | Let's break this down step by step:
1. First, calculate the distance covered in the first 6 hours:
Distance = Speed * Time = 60 * 6 = <<60*6=360>>360 miles
2. Subtract this distance from the total distance to find the remaining distance:
Remaining distance = Total distance - Distance covered = 2796 - 360 = <<2796... |
Ayşe observes that her pet rabbit, Pamuk, eats 3/4 of a carrot stick every morning and her pet turtle, Yavuz, eats 1/6 of a carrot stick. If she has 12 carrot sticks, how many days will they last for both pets? | Let's solve this step by step:
1. Calculate how much of a carrot stick both pets eat together each morning:
Ay\u015fe's rabbit, Pamuk, eats 3/4 of a carrot stick and her turtle, Yavuz, eats 1/6 of a carrot stick.
First, find a common denominator for 4 and 6, which is 12.
Convert 3/4 to have a denominator of 12... |
Khalid is building a scale model of the Burj Khalifa using balsa wood. The actual height of the Burj Khalifa is 828 meters, and Khalid wants his model to be 1/1000th of the actual height. If he has a piece of balsa wood that is 1 meter long, how many centimeters will he need to cut off to make it the correct height for... | To solve this problem, we need to find the correct height for Khalid's model and then subtract that from the length of the balsa wood to determine how much he needs to cut off.
1. First, we need to calculate the height of the model by multiplying the actual height of the Burj Khalifa by the scale factor of 1/1000.
M... |
Fatima invested 5000 AED in a wildlife conservation project in the UAE, earning an annual interest rate of 7% compounded annually. If she donates 10% of the interest earned each year to support local animal shelters, how much will she have in her account after 5 years? | Let's solve this step-by-step:
1. First, let's calculate the interest earned each year: 7% of 5000 AED = <<7/100 * 5000 = 350>>AED.
2. Fatima donates 10% of the interest, so she keeps 90% of 350 AED = <<90/100 * 350 = 315>>AED each year.
3. Now, let's calculate the amount in her account after 1 year: 5000 AED (initial)... |
Ariella is shopping at the Carmel Market in Tel Aviv and wants to buy a combination of kilim rugs and traditional Israeli clothing to bring back as gifts. She has a budget of 850 shekels and each kilim rug costs 120 shekels, while each piece of clothing costs 75 shekels. If Ariella also has a 10% discount coupon for th... | Let's solve this step-by-step:
1. First, let's calculate the maximum amount Ariella can spend with the 10% discount:
The discount amount is 10% of 850 shekels, which is: <<850 * 10 / 100 = 85>> shekels
So, the maximum amount she can spend after the discount is: <<850 - 85 = 765>> shekels
2. Next, let's set up equ... |
In the savannas of Africa, a wildlife observer notices that the ratio of antelopes to zebras is 5:7. If there are 35 zebras in the observed area, how many antelopes are there? | Let's solve this step-by-step:
1. The ratio of antelopes to zebras is given as 5:7.
2. We know there are 35 zebras in the observed area.
3. To find the number of antelopes, we can set up a proportion using the ratio and the known number of zebras:
Antelopes / Zebras = 5 / 7
Antelopes / 35 = 5 / 7
4. We can solve ... |
Fatima bought 3 3/4 kilograms of dates at a market in Riyadh. She gave 1 1/2 kilograms to her neighbor and then bought 2 1/4 more kilograms. What is the total weight of dates Fatima has now? | Let's solve this step-by-step:
1. Fatima initially bought 3 3/4 kilograms of dates. We need to convert the mixed number into an improper fraction for easier calculations: 3 3/4 = (3*4 + 3)/4 = 15/4 kilograms.
2. She gave 1 1/2 kilograms to her neighbor. Convert this mixed number to an improper fraction as well: 1 1/2 =... |
The school soccer team, the Kibera Kickers, from Nairobi, Kenya, is planning a fundraiser by selling team-branded jerseys and soccer balls. They make a profit of 500 Kenyan shillings for each jersey and 800 shillings for each soccer ball. The team has a goal to raise 60,000 shillings. If they have already sold 30 jerse... | Let's solve this step by step:
1. First, calculate the total profit made from selling the jerseys:
30 jerseys * 500 shillings/jersey = <<30*500=15000>>15000 shillings
2. Subtract the profit made from jerseys from the total goal to find out how much more money they need to raise:
60000 shillings - 15000 shillings ... |
Tomás is planning a road trip from his hometown of Albuquerque, New Mexico, to visit his abuela in Tucson, Arizona, which is approximately 560 miles away. His car's fuel efficiency is around 28 miles per gallon. Gasoline costs $2.75 per gallon. If Tomás has a 20% chance of encountering a sandstorm, which would reduce h... | To find the expected cost of gasoline for Tom\u00e1s' trip, we need to calculate the cost for both scenarios (with and without the sandstorm) and then find the weighted average based on the probability of the sandstorm.
1. Calculate the amount of gasoline needed without the sandstorm:
Distance to Tucson = 560 miles
... |
Eitan and his friends are playing a game of capture the flag in the park. The probability that Eitan's team wins a round is 3/5, and the probability that they win the next round given that they won the previous round is 2/3. What is the probability that Eitan's team wins two rounds in a row? | To find the probability that Eitan's team wins two rounds in a row, we need to multiply the probability of winning the first round by the probability of winning the second round given that they won the first round.
1. Probability of winning the first round: 3/5
2. Probability of winning the second round given that they... |
Tomer wants to cover the floor of his new room in Tel Aviv with a carpet. The room is 4 meters long and 3 meters wide. If the carpet costs 50 shekels per square meter, how much will it cost Tomer to cover the entire floor? | Let's solve this step by step:
1. First, calculate the area of the room by multiplying its length and width:
Area = length * width = <<4 * 3 = 12>> square meters
2. Now, calculate the total cost by multiplying the area by the cost per square meter of carpet:
Total cost = Area * cost per square meter = <<12 * 50 =... |
For her Bat Mitzvah celebration, Noa's parents invested 5,000 shekels in a savings account with a 4% annual interest rate compounded annually. How much money will Noa have after 8 years? | To solve this, let's break it down step by step:
1. First, we need to calculate the annual growth factor for the investment, which is 1 plus the annual interest rate (as a decimal).
The annual interest rate as a decimal is 4% / 100% = 0.04.
So, the annual growth factor is 1 + 0.04 = <<1 + 0.04 = 1.04>>.
2. Since ... |
Nong has been planning a camping trip with her friends in the mountains of northern Thailand. She wants to make sure they have enough food for the entire trip. If they plan to spend 5 days camping and each person eats 3 meals per day, how many meals in total will Nong need to prepare for 8 campers, considering she alre... | Let's solve this step by step:
1. First, calculate the total number of meals needed per camper for the entire trip:
Each camper eats 3 meals per day for 5 days, so the total meals per camper is 3 meals/day * 5 days = <<3*5=15>>15 meals.
2. Since there are 8 campers, the total meals needed for all campers is:
15 m... |
Kamal is planning a camping trip with his friends in the Osun Osogbo Sacred Grove. He wants to set up a rectangular campsite with an area of 240 square meters. If the length of the campsite is 3 times its width, and he needs to put a fence around the entire area, what is the minimum length of fencing required in meters... | To find the minimum length of fencing required, we first need to determine the dimensions of the campsite. Let's denote the width of the campsite as w and the length as 3w, since the length is 3 times the width.
Given that the area of the campsite is 240 square meters, we can write the equation:
Area = length * width
2... |
Ayşe observes that a group of birds visit her bird feeder every morning. If 15 birds come at 7:00 AM, 8 more birds arrive at 7:30 AM, and then 2 birds leave at 8:00 AM, how many birds are at the bird feeder at 8:00 AM? | Let's solve this step by step:
1. Initially, there are 15 birds at 7:00 AM.
2. At 7:30 AM, 8 more birds arrive, so we add these to the initial number of birds:
<<15 + 8 = 23>>
3. Then, at 8:00 AM, 2 birds leave, so we subtract these from the total number of birds present:
<<23 - 2 = 21>>
Therefore, there are 21 b... |
Herr Müller observes that the ratio of birds to squirrels in the forest near his home in Berlin is 5:3. If he counts a total of 48 animals and knows that the number of birds has increased by 20% due to the new bird feeders he installed, how many squirrels are there now? | Let's solve this step by step:
1. First, we need to find the original number of birds and squirrels before the increase. We know the ratio of birds to squirrels is 5:3. Let's represent the number of birds as 5x and the number of squirrels as 3x.
2. We are given that the total number of animals (birds + squirrels) is 48... |
Rohan's school is organizing a fair, and his class is in charge of the ring toss game. They have 5 rings of different colors - red, blue, green, yellow, and purple. The probability of winning with the red ring is 1/5, the blue ring is 1/7, the green ring is 1/3, the yellow ring is 1/4, and the purple ring is 1/6. If Ro... | To find the total expected number of wins for Aryan, we need to calculate the expected number of wins for each ring and then add them together. We'll start by finding the expected number of wins for each ring.
1. Red ring: The probability of winning with the red ring is 1/5. Since Aryan plays the game 12 times with the... |
Maria is making tamales for her family's holiday dinner. The recipe calls for a ratio of 2 cups of masa harina to 3 cups of pork filling. If Maria has 6 cups of masa harina, how many cups of pork filling should she use? | To find out how many cups of pork filling Maria should use, let's follow the ratio given in the recipe.
1. The ratio of masa harina to pork filling is 2:3. This means for every 2 cups of masa harina, 3 cups of pork filling are needed.
2. Maria has 6 cups of masa harina. To find out how many cups of pork filling she nee... |
Akua has 15 shirts in her closet, and she wants to randomly select 3 to wear during the upcoming week. If 7 of the shirts are blue, 4 are red, and the rest are green, what is the probability that she selects exactly 2 blue shirts and 1 green shirt? | Let's solve this step by step:
1. First, we need to find the total number of ways Akua can select 3 shirts from 15. This can be calculated using the combination formula: C(n, r) = n! / (r! * (n-r)!)
Here, n = 15 (total shirts), r = 3 (shirts to select)
So, C(15, 3) = 15! / (3! * (15-3)!)
= 15! / ... |
At the Toronto Zoo, the number of visitors increased by 15% from April to May and then decreased by 8% from May to June. If there were 2500 visitors in April, how many visitors were there in June? | Let's solve this step by step:
1. First, calculate the increase in visitors from April to May:
15% of 2500 = <<15 * 2500 / 100 = 375>>
Total visitors in May = 2500 + 375 = <<2500 + 375 = 2875>>
2. Then, calculate the decrease in visitors from May to June:
8% of 2875 = <<8 * 2875 / 100 = 230>>
Total visitors... |
Akua is preparing a traditional Ghanaian dish, groundnut soup, for her family gathering. The recipe serves 8 people and requires 2 cups of groundnuts, 1 cup of vegetables, and 3 cups of water. If she wants to serve 24 people, and the ratio of groundnuts to vegetables to water must remain the same, how many cups of each... | Let's solve this step by step:
1. First, we need to find the scaling factor to adjust the recipe from 8 people to 24 people.
The scaling factor is the ratio of the new number of people to the original number: 24 / 8 = <<24/8=3>>3
2. Since the ratio of ingredients must remain the same, we multiply each ingredient by ... |
During a Bastille Day celebration in France, a bakery offers a special discount on its famous croissants. Initially, the bakery gives a 15% discount on all purchases over 20 croissants. Later in the day, it announces an additional 5% off for customers who buy at least 30 croissants. If Colette buys 35 croissants origin... | Let's solve this step by step:
1. Calculate the total cost before any discounts:
Price per croissant = 2 euros
Number of croissants = 35
Total cost = Price per croissant * Number of croissants = <<2*35=70>>70 euros
2. Calculate the cost after the initial 15% discount:
Discount amount = 15% of 70 euros = <<1... |
Luana observes that a certain species of bird in the Brazilian rainforest lays an average of 5 eggs per nest. If she finds 8 nests in her backyard, how many eggs can she expect to find in total? | To find the total number of eggs Luana can expect to find, we need to multiply the average number of eggs per nest by the number of nests she finds.
1. First, we identify the average number of eggs per nest, which is 5 eggs.
2. Then, we identify the number of nests found, which is 8 nests.
3. Multiply the average numbe... |
Tomás went on a hike and recorded the distance he traveled every hour. His distances were 2.5 miles, 3.2 miles, 2.8 miles, 3.5 miles, and 2.2 miles. What is the total distance Tomás hiked? | To find the total distance Tom\u00e1s hiked, we need to add up all the distances he recorded every hour.
1. Start by adding the first two distances: 2.5 miles + 3.2 miles = <<2.5+3.2=5.7>>5.7 miles
2. Add the third distance to the previous total: 5.7 miles + 2.8 miles = <<5.7+2.8=8.5>>8.5 miles
3. Add the fourth distan... |
Ayşe, a 6th-grade student at a Turkish school, is organizing a bake sale to raise funds for her class. She bakes 48 cookies and her friend, Emre, bakes 72 cookies. If they want to package the cookies in bags that contain 6 cookies each, how many bags can they make in total? | Let's solve this step by step:
1. First, calculate the total number of cookies Ay\u015fe and Emre baked:
Ay\u015fe's cookies: 48
Emre's cookies: 72
Total cookies = 48 + 72 = <<48 + 72 = 120>>
2. Since they want to package the cookies in bags of 6, we need to divide the total number of cookies by 6:
Total ba... |
Ayşe's family is planning a trip to Istanbul. They want to visit the Hagia Sophia, Topkapi Palace, and the Basilica Cistern. The ticket prices are 40, 30, and 20 Turkish Lira respectively. If they also need to pay a 10% tax on the total ticket price, how much will they pay in total for the three attractions? | To find the total cost, we need to add the ticket prices and then apply the tax.
1. Add the ticket prices for the three attractions: 40 + 30 + 20 = <<40+30+20=90>>90 Turkish Lira
2. Calculate the tax amount: 10% of 90 = <<10*90/100=9>>9 Turkish Lira
3. Add the tax to the total ticket price: 90 + 9 = <<90+9=99>>99 Turki... |
Mei has been saving money for a new bike and has $120 in her savings account. She wants to buy a bike that costs $180. Mei's parents have agreed to give her an allowance of $5 per week for doing chores. However, she also spends $2 per week on snacks. How many weeks will Mei need to save her allowance in order to have e... | Let's solve this step-by-step:
1. Mei starts with $120 and needs $180 for the bike. To find out how much more money she needs, we subtract the initial amount from the cost of the bike:
$180 - $120 = $<<180-120=60>>60
2. Mei receives $5 per week but spends $2 on snacks, so her net savings per week are:
$5 - $2 = $... |
Ayşe is planning a trip from Istanbul to Antalya. If the population of Antalya is growing at a rate of 5% per year and the current population is 2.5 million, what will be the population of Antalya after 2 years? | Let's break down the problem step by step:
1. First, we need to calculate the growth rate after 1 year:
Growth rate = 5% of 2,500,000 = <<5/100 * 2500000 = 125000>>
Population after 1 year = 2,500,000 + 125,000 = <<2500000 + 125000 = 2625000>>
2. Now, we calculate the growth rate after the second year based on th... |
Ivan is observing birds at a nature reserve near Moscow. He notices that 60% of the birds are sparrows, and 25% of the sparrows have distinctive white stripes on their heads. If Ivan sees 48 birds with white stripes, how many birds are at the nature reserve in total? | Let's solve this step by step:
1. First, we need to find the total number of sparrows. Since 25% of the sparrows have white stripes, and Ivan sees 48 birds with white stripes, we can set up the equation:
25% of the total sparrows = 48
To find the total number of sparrows, we can convert the percentage to a decima... |
Hans has 150 euros to spend on school supplies. He needs to buy 5 notebooks that cost 8 euros each, a calculator for 25 euros, and a backpack that costs 30 euros. There is a discount of 10% on the total purchase if he buys all the items together. However, he also has a coupon for 20% off on the calculator. How much mon... | To find out how much money Hans will have left after making the purchase, let's calculate the total cost first.
1. Calculate the total cost of the notebooks:
5 notebooks * 8 euros each = <<5 * 8 = 40>>40 euros
2. Calculate the discounted price of the calculator:
Original price = 25 euros
Discount = 20% of 25 e... |
Tom is planning a road trip from New York to Los Angeles. He has a map that shows the distances between major cities along his route. From New York to Chicago is 790 miles, from Chicago to Denver is 920 miles, and from Denver to Los Angeles is 1010 miles. If Tom's car gets an average of 30 miles per gallon, and gas cos... | Let's solve this step by step:
1. First, we need to calculate the total distance of the trip by adding the distances between each city:
Total distance = Distance from New York to Chicago + Distance from Chicago to Denver + Distance from Denver to Los Angeles
Total distance = 790 + 920 + 1010
<<790 + 920 + 1010... |
Ahmet observes that a local bird sanctuary has a 15% increase in the number of migratory birds visiting each year. If there were 250 birds in the sanctuary last year, and 30 birds decided to stay permanently, how many migratory birds can Ahmet expect to see this year, given that the sanctuary can only support a maximum... | Let's solve this step-by-step:
1. First, calculate the increase in the number of migratory birds from last year to this year:
Increase = 15% of 250 = <<15/100 * 250 = 37.5>>
2. Since the increase needs to be a whole number of birds, we round down to 37 birds because you cannot have a fraction of a bird.
3. Calculate... |
In a Nigerian football league, the ratio of goals scored by the Super Eagles to those scored by the Flying Antelopes is 5:3. If the Super Eagles scored 25 goals, how many goals did the Flying Antelopes score? | Let's solve this step by step:
1. The ratio of goals scored by the Super Eagles to those scored by the Flying Antelopes is given as 5:3.
2. We are told the Super Eagles scored 25 goals. We need to find how many goals the Flying Antelopes scored.
3. To do this, we first determine the factor by which the ratio 5:3 needs ... |
Ayşe and her family are planning a traditional Turkish dinner for 15 guests. They want to serve a combination of vegetarian and meat dishes in a 3:5 ratio. If they decide to serve 3 vegetarian dishes, how many meat dishes should they prepare to maintain the desired ratio? | Let's solve this step by step:
1. First, understand the given ratio of vegetarian to meat dishes, which is 3:5.
2. Since Ay\u015fe's family decides to serve 3 vegetarian dishes, we need to find how many meat dishes (let's call this number x) will maintain the 3:5 ratio.
3. Set up the proportion based on the ratio: 3/5 ... |
Mrs. Thompson, a Canadian high school teacher, is planning a school garden in the shape of a rectangular prism with a length of 15 meters, a width of 8 meters, and a height of 2 meters. If a path that is 2 meters wide is built around the garden, what is the area of the path? | To find the area of the path, we need to find the area of the larger rectangular prism that includes the path and subtract the area of the garden itself.
1. First, let's find the dimensions of the larger rectangular prism. Since the path is 2 meters wide, we add 2 meters to the length and width of the garden:
Length... |
Ivan and his friends are organizing a tree-planting event in Moscow. They want to plant trees in a pattern such that each row has twice as many trees as the previous row. If they start with 5 trees in the first row and plant 8 rows in total, how many trees will they have planted in total? | Let's solve this step-by-step:
1. The number of trees in each row follows a pattern where each row has twice as many trees as the previous row. The first row has 5 trees.
2. To find the number of trees in the second row, we multiply the number of trees in the first row by 2:
<<5 * 2 = 10>>
3. Following this pattern,... |
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