Question stringlengths 22 476 | Equation stringlengths 6 103 | Answer stringlengths 1 34 | Numbers stringlengths 3 58 ⌀ |
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The product of N_00 and a number is the same as N_01 less twice that same number. Find the number. | 2.0 * v0 - N_00 * v0 = N_01 | -4.5 | 10.0 36.0 |
Your teacher is giving you a test worth N_00 points and containing N_01 questions. There are N_02 point and N_03 point questions on the test. How many two-point questions are there? How many N_03 point questions? | N_02 * v0 + N_03 * v1 = N_00 <BRG> v0 + v1 = N_01 | 30.0 10.0 | 100.0 40.0 2.0 4.0 |
John is writing an article. The article is limited to N_00 words. He decides to use two types of font. Large font is N_01 words per page, small font is N_02 words per page. He is allowed N_03 pages for this article. How many pages are in small font? How many pages are in large font? | N_01 * v0 + N_02 * v1 = N_00 <BRG> v0 + v1 = N_03 | 17.0 4.0 | 48000.0 1800.0 2400.0 21.0 |
Northwest Molded molds plastic handles which cost N_00 dollars per handle to mold. The fixed cost to run the molding machine is N_01 dollars per week. If the company sells the handles for N_02 dollars each, how many handles must be molded and sold weekly to break even? | N_02 * v0 - N_00 * v0 = N_01 | 1910.0 | 0.6 7640.0 4.6 |
Suzy has a piggy bank consisting of nickels and dimes. If there are N_00 coins worth N_01 dollars, how many nickels and dimes are in the bank? | 0.05 * v0 + 0.1 * v1 = N_01 <BRG> v0 + v1 = N_00 | 22.0 8.0 | 30.0 1.9 |
Joe sold N_00 peaches from his tree for a total of N_01 dollars. He sold the small ones for N_02 cents each and the large ones for N_03 cents each. How many small ones did he sell? How many large ones did he sell? | 0.01 * N_02 * v0 + 0.01 * N_03 * v1 = N_01 <BRG> v1 + v0 = N_00 | 20.0 10.0 | 30.0 7.5 20.0 35.0 |
N_00 similar tables and N_01 similar chairs cost N_02 dollars. If the table costs N_03 dollars more than a chair, what is the cost, in dollars, of the table? What is the cost of the chair? | N_00 * v0 + N_01 * v1 = N_02 <BRG> v0 - v1 = N_03 | 1200.0 700.0 | 2.0 6.0 6600.0 500.0 |
The weight of an object on the moon varies directly to its weight on earth. A person who weighs N_00 pounds on earth weighs N_01 pounds on the moon. How many pounds would a N_02 -pound person weigh on the moon? | N_00 * v0 = N_01 <BRG> N_02 * v0 - v2 = 0.0 | 27.2 0.2 | 133.0 26.6 136.0 |
Trinidad has N_00 dollars in nickels and dimes. If she has N_01 coins in all, how many nickels does she have? How many dimes does she have? | 0.05 * v0 + 0.1 * v1 = N_00 <BRG> v0 + v1 = N_01 | 19.0 14.0 | 2.35 33.0 |
Arianne is mixing a solution for Chemistry class. She has a N_00 copper solution and a N_01 copper solution. How many milliliters of the N_00 solution and N_01 solution should she mix to make N_02 milliliters of a N_03 solution? | N_00 * v0 + N_01 * v1 = N_02 * N_03 <BRG> v0 + v1 = N_02 | 200.0 800.0 | 0.25 0.5 1000.0 0.45 |
Find two numbers whose sum is N_00 and whose difference is N_01 . | v0 + v1 = N_00 <BRG> v0 - v1 = N_01 | 85.0 21.0 | 106.0 64.0 |
N_00 people attend a banquet at Disney. Residents paid N_01 dollars, and non-residents paid N_02 dollars. If Disney made N_03 dollars from ticket sales for the event, how many residents and non-residents attended? | N_01 * v0 + N_02 * v1 = N_03 <BRG> v0 + v1 = N_00 | 219.0 367.0 | 586.0 12.95 17.95 9423.7 |
You sell tickets for admission to your school play and collect a total of N_00 dollars. Admission prices are N_01 dollars for adults and N_02 dollars for children. You sold N_03 tickets. How many adult tickets did you sell? How many children's tickets did you sell? | N_01 * v0 + N_02 * v1 = N_00 <BRG> v0 + v1 = N_03 | 10.0 11.0 | 104.0 6.0 4.0 21.0 |
Stefan's school is selling tickets to a choral performance. On the first day of ticket sales, the school sold N_00 senior citizen tickets and N_01 student tickets for N_02 dollars. The school took N_03 dollars on the second day by selling N_04 senior citizen tickets and N_05 student tickets. Find the price of a senior ... | N_00 * v0 + N_01 * v1 = N_02 <BRG> N_04 * v0 + N_05 * v1 = N_03 | 13.0 9.0 | 4.0 3.0 79.0 246.0 12.0 10.0 |
Hockey teams receive N_00 points when they win and N_01 point when they tie. N_01 season, a team won a championship with N_02 points. They won N_03 games more than they tied. How many wins and ties did the team have? | N_00 * v0 + N_01 * v1 = N_02 <BRG> v0 - v1 = N_03 | 24.0 12.0 | 2.0 1.0 60.0 12.0 |
Jackie has coffee that sells for N_00 dollars per pound and coffee that sells for N_01 dollars per pound. How many pounds of N_00 dollars coffee and how many pounds of N_01 dollars coffee must be mixed to get N_02 pounds of coffee that sells for N_03 dollars per pound? | N_00 * v0 + N_01 * v1 = N_02 * N_03 <BRG> v0 + v1 = N_02 | 17.0 3.0 | 9.0 4.0 20.0 8.25 |
A chemist is mixing a solution that is N_00 sodium and another solution that is N_01 sodium. How many liters of N_00 and N_01 solution should the chemist use to produce N_02 liters of the solution that is N_03 sodium? | N_00 * v0 + N_01 * v1 = N_02 * N_03 <BRG> v0 + v1 = N_02 | 20.0 30.0 | 0.32 0.12 50.0 0.2 |
Admission to an amusement park is N_00 dollars for adults and N_01 dollars for children. If N_02 dollars was paid for N_03 tickets, how many adult tickets were purchased? How many children's tickets were purchased? | N_00 * v0 + N_01 * v1 = N_02 <BRG> v0 + v1 = N_03 | 12.0 21.0 | 8.0 5.0 201.0 33.0 |
E-Chem Testing has a solution that is N_02 base and another that is N_03 base. A technician needs N_01 liters of a solution that is N_00 base. The N_01 liters will be prepared by mixing the two solutions on hand. How much of the N_02 base and the N_03 base should be used? | N_02 * v0 + N_03 * v1 = N_01 * N_00 <BRG> v0 + v1 = N_01 | 96.0 54.0 | 0.62 150.0 0.8 0.3 |
In a family, there are two cars. The sum of the average miles per gallon obtained by the two cars in a particular week is N_00 miles per gallon. The first car has consumed N_01 gallons during that week, and the second has consumed N_02 gallons, for a total of N_03 miles driven by the two cars combined. What was the ave... | N_01 * v0 + N_02 * v1 = N_03 <BRG> v0 + v1 = N_00 | 35.0 40.0 | 75.0 25.0 35.0 2275.0 |
A small publishing company has a N_00 -time product cost for editing and printing of N_01 dollars. The variable cost per book is N_02 dollars. The publisher is selling the book to the store for N_03 dollars. How many books must the publisher print and sell so that the production cost will equal the money obtained from ... | N_03 * v0 - N_02 * v0 = N_01 | 4180.0 | 1.0 56430.0 8.25 21.75 |
There are N_00 kids in Mrs. Jones' class. There are twice as many girls as boys. How many boys and girls are there? | v0 + v1 = N_00 <BRG> v1 - 2.0 * v0 = 0.0 | 8.0 16.0 | 24.0 |
For his long-distance phone calls, John pays a N_00 dollars monthly fee plus N_01 cents per minute. Last month, John's long-distance bill was N_02 dollars. For how many minutes was John billed? | 0.01 * N_01 * v0 = N_02 - N_00 | 28.08 | 5.0 25.0 12.02 |
A high school graduating class is made up of N_00 students. There are N_01 more girls than boys. How many boys are in the class? | v0 + v1 = N_00 <BRG> v0 - v1 = N_01 | 127.0 339.0 | 466.0 212.0 |
One integer is twice another, and their sum is N_00 . Find the smaller and larger integer. | v0 + v1 = N_00 <BRG> v1 - 2.0 * v0 = 0.0 | 32.0 64.0 | 96.0 |
The sum of N_00 and a number is N_01 . Find the number. | v0 = N_01 - N_00 | 15.0 | 5.0 20.0 |
A semi-truck travels on a paved road for N_00 hours at an average speed of N_01 miles per hour faster than it travels on a dirt road. The time spent on the dirt is N_02 hours. If the entire trip is N_03 miles, how fast is the truck traveling on the dirt road? | N_00 * v0 + N_02 * v1 = N_03 <BRG> v0 - v1 = N_01 | 32.0 52.0 | 2.0 20.0 3.0 200.0 |
In a class of N_00 students, the number of girls is N_01 of the number of boys. Find the number of girls in the class. | v0 + v1 = N_00 <BRG> v1 - N_01 * v0 = 0.0 | 10.0 25.0 | 35.0 0.4 |
A person wishes to invest N_00 dollars, part at N_01 and part at N_02 . If the total interest desired at the end of the year is N_03 dollars, how much should be invested at each rate? | N_01 * v0 + N_02 * v1 = N_03 <BRG> v1 + v0 = N_00 | 1500.0 900.0 | 2400.0 0.09 0.06 189.0 |
Tickets for a concert were priced at N_00 dollars for students and N_01 dollars for non-students. There were N_02 tickets sold for a total of N_03 dollars. How many student tickets were sold? | N_00 * v0 + N_01 * v1 = N_03 <BRG> v0 + v1 = N_02 | 520.0 1480.0 | 9.0 11.0 2000.0 20960.0 |
Jack collects baseball and football cards. He has N_00 cards total. The number of baseball cards he has is five more than three times the number of football cards. How many baseball and football cards does he have? | v0 - 3.0 * v1 = 5.0 <BRG> v0 + v1 = N_00 | 95.0 30.0 | 125.0 |
A jazz concert brought in N_00 dollars with the sale of N_01 tickets. If tickets were sold for N_02 dollars and N_03 dollars each, how many N_02 dollar tickets were sold? How many N_03 dollar tickets? | N_02 * v0 + N_03 * v1 = N_00 <BRG> v0 + v1 = N_01 | 3100.0 4300.0 | 191000.0 7400.0 20.0 30.0 |
The Willey Farm Collective, farmed by several branches of the Willeys, has N_00 acres of land available for raising corn and wheat. The cost of raising corn is N_01 dollars an acre, while the cost of wheat is N_02 dollars an acre. The Collective's available capital is N_03 dollars. How many acres of corn should the Col... | N_01 * v0 + N_02 * v1 = N_03<BRG> v0 + v1 = N_00 | 1100.0 3400.0 | 4500.0 42.0 35.0 165200.0 |
There are N_01 animals total, all sheep and chickens. If there are N_00 legs total, how many of the N_01 animals are sheep? How many are chickens? | v0 + v1 = N_01 <BRG> 2.0 * v0 + 4.0 * v1 = N_00 | 7.0 14.0 | 56.0 21.0 |
The Jurassic Zoo charges N_00 dollars for each adult and N_01 dollars for each child. The total bill for the N_02 people was N_03 dollars. How many children were at the zoo? | N_00 * v0 + N_01 * v1 = N_03 <BRG> v0 + v1 = N_02 | 161.0 40.0 | 8.0 4.0 201.0 964.0 |
Nine books are to be bought by a student. Some cost N_01 dollars each, and the remainder cost N_02 dollars each. The total amount spent was N_00 dollars. How many N_01 dollar books were sold? How many N_02 dollar books were sold? | N_01 * v0 + N_02 * v1 = N_00 <BRG> v0 + v1 = 9.0 | 5.0 4.0 | 56.0 6.0 6.5 |
You buy N_00 boxes of candy and spend N_01 dollars. A box of peppermint cost N_02 dollars a box, and candy canes cost N_03 dollars a box. How many boxes of peppermint did you buy? How many boxes of candy canes? | N_02 * v0 + N_03 * v1 = N_01 <BRG> v0 + v1 = N_00 | 15.0 10.0 | 25.0 28.0 1.0 1.3 |
Mary began walking home from school, heading south at a rate of N_00 miles per hour. Sharon left school at the same time heading north at N_01 miles per hour. How long will it take for them to be N_02 miles apart? | N_00 * v0 + N_01 * v0 = N_02 | 0.3 | 4.0 6.0 3.0 |
A mechanic charged N_00 dollars an hour, plus N_01 dollars for the parts. If the total bill was N_02 dollars, how many hours did the job take? | N_00 * v0 = N_02 - N_01 | 5.0 | 45.0 225.0 450.0 |
Honda day shift produced N_00 times as much as the second shift. The total production for the month was N_01 cars. How many did the day shift produce? How many did the second shift produce? | v0 + v1 = N_01 <BRG> v1 - N_00 * v0 = 0.0 | 4400.0 1100.0 | 4.0 5500.0 |
Latoya purchased a prepaid phone card for N_00 dollars. Long-distance calls cost N_01 cents a minute using this card. Latoya used her card only once to make a long-distance call. If the remaining credit on her card is N_02 dollars, how many minutes did her call last? | 0.01 * N_01 * v0 = N_00 - N_02 | 22.0 | 30.0 16.0 26.48 |
Sara and Jim both decided to save some money each week. Sara has already saved N_00 dollars, and she plans to save N_01 dollars a week. Jim plans to save N_02 dollars a week. In how many weeks will Jim and Sara have saved the same amount? | N_02 * v0 - N_01 * v0 = N_00 | 820.0 | 4100.0 10.0 15.0 |
A grocer bought N_00 bushels of Baldwin and McIntosh apples. Baldwins cost N_01 cents a bushel, but McIntosh cost only N_02 cents a bushel. If he paid N_03 dollars for the lot, how many bushels of Baldwins did he get? How many bushels of McIntosh? | 0.01 * N_01 * v0 + 0.01 * N_02 * v1 = N_03 <BRG> v1 + v0 = N_00 | 4.0 8.0 | 12.0 95.0 90.0 11.0 |
Tim and Judy mix two kinds of feed for pedigreed dogs. They wish to make N_00 pounds of feed worth N_01 dollars per pound by mixing one kind worth N_02 dollars per pound with another worth N_03 dollars per pound. How many pounds of the cheaper kind should they use in the mix? | N_02 * v0 + N_03 * v1 = N_00 * N_01 <BRG> v0 + v1 = N_00 | 17.0 18.0 | 35.0 0.36 0.18 0.53 |
The second of two numbers is N_00 more than the first. The sum is N_01 . Find the first and second numbers. | v0 + v1 = N_01 <BRG> v0 - v1 = N_00 | 26.0 30.0 | 4.0 56.0 |
About N_00 million households had one brand of personal computers in N_02 . The use of these computers grew at an average rate of N_01 million households a year. In N_02 , about N_03 million households used another type of computer. The use of these computers grew at an average rate of N_04 million households a year. H... | N_01* v0 - N_04 * v0 = N_03 - N_00 | 5.647 | 4.9 0.275 2001.0 2.5 0.7 |
A carpenter gave an estimate of N_00 dollars to build a cover over a patio. His hourly rate is N_01 dollars, and he expects to need N_02 dollars in materials. How many hours will the job take? | N_01 * v0 = N_00 - N_02 | 15.0 | 980.0 28.0 560.0 |
One year Walt invested N_00 dollars. He invested part of the money at N_03 and the rest at N_01 . He made a total of N_02 dollars in interest. How much was invested at N_03 ? | N_03 * v0 + N_01 * v1 = N_02 <BRG> v1 + v0 = N_00 | 5500.0 6500.0 | 12000 .0 0.09 970.0 0.07 |
Snookers Lumber can convert logs into either lumber or plywood. In a given day, the mill turns out three times as many units of plywood as lumber. It makes a profit of N_00 dollars on a unit of lumber and N_01 dollars on a unit of plywood. Snookers Lumber must produce and sell ___ units of lumber and ___ units of plywo... | N_00 * v0 + N_01 * v1 = N_02 <BRG> 3.0 * v0 - v1 = 0.0 | 102.0 306.0 | 30.0 50.0 18360.0 |
The length of a rectangular field is N_00 meters. This is N_01 meters less than twice the width. Find the width. | 2.0 * v0 = N_00 + N_01 | 13.5 | 24.0 3.0 |
The Lakers scored a total of N_00 points in a basketball game against the Bulls. The Lakers made a total of N_01 baskets, consisting of N_02 point baskets and N_03 point baskets. How many N_02 point baskets did the Lakers make? How many N_03 point baskets did the Lakers make? | N_02 * v0 + N_03 * v1 = N_00 <BRG> v0 + v1 = N_01 | 31.0 6.0 | 80.0 37.0 2.0 3.0 |
Find a number such that N_00 more than N_01 the number is N_02 the number. | N_02 * v0 - N_01 * v0 = N_00 | 12.0048 | 1.0 0.6667 0.75 |
Adult tickets for a play cost N_00 dollars, and the child tickets cost N_01 dollars. If there were N_02 people at a performance and the theater collected N_03 dollars from ticket sales, how many children attended the play? How many adults attended the play? | N_00 * v0 + N_01 * v1 = N_03 <BRG> v0 + v1 = N_02 | 7.0 16.0 | 11.0 10.0 23.0 246.0 |
In a family, there are two cars. In a given week, the first car gets an average of N_02 miles per gallon, and the second car gets N_03 miles per gallon. The two cars combined drive a total of N_00 miles in that one week, for total gas consumption of N_01 gallons. How many gallons were consumed by the N_02 miles per gal... | N_02 * v0 + N_03 * v1 = N_00 <BRG> v0 + v1 = N_01 | 25.0 30.0 | 1825.0 55.0 25.0 40.0 |
The attendance at a school concert was N_00 people. Admission costs N_01 dollars for adults and N_02 dollars for children. The receipts were N_03 dollars. How many adults and how many children attended the concert? | N_01 * v0 + N_02 * v1 = N_03 <BRG> v0 + v1 = N_00 | 236.0 342.0 | 578.0 2.0 1.5 985.0 |
On a college entrance exam, each correct answer adds N_00 point to your raw score, each unanswered question adds nothing, and each incorrect answer subtracts N_01 points. You answer N_02 out of N_03 questions for a raw score of N_04 . How many questions did you answer correctly? | N_00 * v0 - N_01 * v1 = N_04 <BRG> v1 + v0 = N_02 | 70.0 12.0 | 1.0 0.25 82.0 85.0 67.0 |
The difference between N_00 of a line and N_01 of the same line is N_02 centimeters. Find the length of the line. | N_00 * v0 - N_01 * v0 = N_02 | 80.0 | 0.75 0.4 28.0 |
Soft drinks are on sale at the grocery store for N_00 dollars for a N_01 pack. How much would each can of soft drink cost if purchased individually, in dollars? | N_01 * v0 = N_00 | 0.2491 | 2.99 12.0 |
Steve invests in a circus production. The cost includes an overhead of N_00 dollars, plus production costs of N_01 dollars per performance. A sold-out performance brings in N_02 dollars. Determine the number of sold-out performances, x, needed to break even. | N_02 * v0 - N_01 * v0 = N_00 | 9.0 | 81000.0 7000.0 16000 .0 |
If N_00 pounds of ground beef costs N_01 dollars, how much do N_02 pounds of ground beef cost? | N_00 * v0 = N_01 <BRG> N_02 * v0 - v2 = 0.0 | 15.632 2.7914 | 3.5 9.77 5.6 |
The value of a sport utility vehicle this year is N_00 dollars, which is N_01 of what its value was last year. Find the value of the vehicle last year. | N_01 * v0 = N_00 | 20000.0 | 16000.0 0.8 |
The total attendance at a rally was N_00 people. Tickets bought before the rally were N_01 dollars each, and tickets bought at the door were N_02 dollars each. How many tickets were bought at the door if the total receipts were N_03 dollars? How many tickets were bought before the rally? | N_01 * v0 + N_02 * v1 = N_03 <BRG> v0 + v1 = N_00 | 275.0 475.0 | 750.0 2.0 2.75 1706.25 |
At a hotel one night, N_00 rooms were booked. Some were single rooms, and some were double rooms. The single rooms cost N_01 dollars each, and the double rooms cost N_02 dollars. The hotel made N_03 dollars that night. How many single rooms and double rooms were booked? | N_01 * v0 + N_02 * v1 = N_03 <BRG> v0 + v1 = N_00 | 64.0 196.0 | 260.0 35.0 60.0 14000.0 |
A freight train and an express train leave towns N_00 kilometers apart, traveling toward one another. The freight train travels N_01 kilometers per hour slower than the express train. They pass one another N_02 hours later. How fast is the freight train, in miles per hour? How fast is the express train? | N_02 * v0 + N_02 * v1 = N_00 <BRG> v1 - v0 = N_01 | 50.0 80.0 | 390.0 30.0 3.0 |
A writing workshop enrolls novelists and poets in a ratio of N_00 to N_01 . There are N_02 people at the workshop. How many novelists are there? How many poets are there? | N_00 * v0 - N_01 * v1 = 0.0 <BRG> v0 + v1 = N_02 | 15.0 9.0 | 5.0 3.0 24.0 |
A woman has N_00 dollars invested, part at N_02 and the remainder at N_03 simple interest. If the total annual income is N_01 dollars, how much is invested at N_02 in dollars? How much is invested at N_03 ? | N_03 * v0 + N_02 * v1 = N_01 <BRG> v1 + v0 = N_00 | 250.0 200.0 | 450.0 11.0 0.02 0.03 |
Apples cost N_00 dollars per pound and grapes cost N_01 dollars per pound. Jenny bought N_02 pounds of fruit and paid N_03 dollars. How many pounds of apples did she buy? How many pounds of grapes? | N_01 * v0 + N_00 * v1 = N_03 <BRG> v0 + v1 = N_02 | 5.0 7.0 | 0.6 1.0 12.0 10.0 |
Your science test is worth N_00 points and contains N_01 questions. There are two-point and five-point questions on the test. How many two-point questions and five-point questions are on the test? | 2.0 * v0 + 5.0 * v1 = N_00 <BRG> v0 + v1 = N_01 | 30.0 8.0 | 100.0 38.0 |
Mrs. Naidu bought N_00 dollars in groceries. She paid her bill with N_02 -dollar notes and N_03 -dollar notes using a total of N_01 notes. How many N_02 -dollar notes were used? How many N_03 -dollar notes were used? | N_02 * v0 + N_03 * v1 = N_00 <BRG> v0 + v1 = N_01 | 7.0 6.0 | 155.0 13.0 5.0 20.0 |
You are selling tickets for a high school play. Student tickets cost N_00 dollars, and general admission tickets cost N_01 dollars. You sell N_02 tickets and collect N_03 dollars. How many student tickets and general admission tickets did you sell? | N_00 * v0 + N_01 * v1 = N_03 <BRG> v0 + v1 = N_02 | 137.0 388.0 | 4.0 6.0 525.0 2876.0 |
A chemist needs to make N_00 ounces of a N_01 alcohol solution by mixing together a N_02 alcohol solution with a N_03 alcohol solution. How many ounces of the N_02 solution should he use? How many ounces of the N_03 solution? | N_02 * v0 + N_03 * v1 = N_00 * N_01 <BRG> v0 + v1 = N_00 | 18.0 12.0 | 30.0 0.25 0.15 0.4 |
A grain storage warehouse has a total of N_00 bins. Some hold N_02 tons of grain each. The rest hold N_03 tons each. The capacity of the warehouse is N_01 tons. How many N_02 -ton bins are there? How many N_03 -ton bins? | N_02 * v0 + N_03 * v1 = N_01 <BRG> v0 + v1 = N_00 | 12.0 18.0 | 30.0 510.0 20.0 15.0 |
There are N_00 chickens and cows on a farm. Together they have N_01 legs. How many chickens are there? How many cows? | v0 + v1 = N_00 <BRG> 2.0 * v0 + 4.0 * v1 = N_01 | 14.0 8.0 | 22.0 60.0 |
Maria added a white vinegar solution of acetic acid to the water. There are N_00 strengths of white vinegar, a N_01 solution and a N_02 solution. How many milliliters of the N_01 solution and the N_02 solution must she mix to make N_03 milliliters of a N_04 vinegar solution? | N_01* v0 + N_02 * v1 = N_03 * N_04 <BRG> v0 + v1 = N_03 | 10.0 40.0 | 2.0 0.05 0.1 50.0 0.09 |
You are running a concession stand. You are selling hot dogs and soda. Each hot dog costs N_00 dollars, and each soda costs N_01 dollars. You made a total of N_02 dollars. You sold a total of N_03 hot dogs and sodas combined. You must report the number of hot dogs and sodas sold. How many hot dogs and sodas were sold? | N_00 * v0 + N_01 * v1 = N_02 <BRG> v0 + v1 = N_03 | 35.0 52.0 | 1.5 0.5 78.5 87.0 |
Your teacher is giving you a test worth N_00 points containing N_01 questions. There are N_02 -point and N_03 -point questions on the test. How many questions are worth two points? How many questions are worth four points? | N_02 * v0 + N_03 * v1 = N_00 <BRG> v0 + v1 = N_01 | 30.0 10.0 | 100.0 40.0 2.0 4.0 |
You have N_00 dollars and save N_01 dollars per week. Your friend has N_02 dollars and saves N_03 dollars per week. After how many weeks will each of you have saved the same amount of money? | N_01 * v0 - N_03 * v0 = N_02 - N_00 | 25.0 | 160.0 7.0 210.0 5.0 |
An auditorium has N_00 balcony seats and N_01 main-level seats. If tickets for balcony seats will cost N_02 dollars less than tickets for main-level seats, what should the prices be for the main-level seats and prices for the balcony seats so that the total revenue from a sellout performance will be N_03? | N_01 * v0 + N_00 * v1 =N_03 <BRG> v0 - v1 = N_02 | 40.0 25.0 | 500.0 1800.0 15.0 84500.0 |
If your gross pay is N_00 dollars, while your net pay is N_01 dollars, how much do you pay in taxes? Assume that all tax dollars are not included in net pay. | v0 = N_00 - N_01 | 135.0 | 450.0 315.0 |
Two rainstorms occurred in one week in a certain area. In the first storm, N_00 milliliters of rain fell per hour, and in the second storm, N_01 milliliters of rain fell per hour. Rain fell that week for a total of N_02 hours, for a total rainfall of N_03 milliliters. How many hours were the first storm and the second ... | N_00 * v0 + N_01 * v1 = N_03 <BRG> v0 + v1 = N_02 | 20.0 25.0 | 30.0 15.0 45.0 975.0 |
There are some N_02 -dollar coins and some N_03 -dollar coins. There are N_00 coins, which give a total amount of N_01 dollars. How many N_02 -dollar coins are there? How many N_03 -dollar coins are there? | N_02 * v0 + N_03 * v1 = N_01 <BRG> v0 + v1 = N_00 | 25.0 15.0 | 40.0 125.0 2.0 5.0 |
A manufacturer produces two models of the same toy, Model A and Model B. Model A takes N_00 hours to produce and costs N_01 dollars each. Model B takes N_02 hours to produce and costs N_03 dollars each. If the manufacturer allots a total of N_04 hours and N_05 dollars for production each week, how many of each model w... | N_00 * v0 + N_02 * v1 = N_04 <BRG> N_01 * v0 + N_03 * v1 = N_05 | 700.0 1000.0 | 4.0 8.0 3.0 7.0 5800.0 12.0 |
A N_00 -foot board is cut into N_01 pieces. Twice the length of the shorter piece is N_02 feet more than the length of the longer piece. Find the length of the shorter piece. | N_01 * v0 - v1 = N_02 <BRG> v0 + v1 = N_00 | 8.0 12.0 | 20.0 2.0 4.0 |
A grain-storage warehouse has a total of N_00 bins. Some hold N_02 tons of grain each. The rest hold N_03 tons each. How many of each type of bin are there if the capacity of the warehouse is N_01 tons? How many N_02 ton bins? How many N_03 ton bins? | N_02 * v0 + N_03 * v1 = N_01 <BRG> v0 + v1 = N_00 | 12.0 18.0 | 30.0 510.0 20.0 15.0 |
A theater sells children's tickets for N_00 dollars and adult tickets for N_01 dollars. One night N_02 tickets worth N_03 dollars were sold. How many adult tickets were sold? How many children's tickets? | N_00 * v0 + N_01 * v1 = N_03 <BRG> v0 + v1 = N_02 | 425.0 150.0 | 4.0 7.0 575.0 3575.0 |
The sum of N_00 numbers is N_01 . N_02 times one of the numbers is N_03 less than N_04 times the other. What is the smaller number? What is the larger number? | N_04 * v0 - N_02 * v1 = N_03 <BRG> v1 + v0 = N_01 | 7.0 8.0 | 2.0 15.0 3.0 11.0 5.0 |
Mrs. Martin bought N_00 cups of coffee and N_02 bagels and spent N_01 dollars. Mr. Martin bought N_02 cups of coffee and N_03 bagels and spent N_04 dollars. Find the cost of one cup of coffee and the cost of one bagel. | N_00 * v0 + N_02 * v1 = N_01 <BRG> N_02 * v0 + N_03 * v1 = N_04 | 3.25 1.5 | 3.0 12.75 2.0 5.0 14.0 |
In N_00 day, a store sold N_01 as many DVDs as CDs. The total number of DVDs and CDs sold that day was N_02 . How many DVDs were sold? | v0 + v1 = N_02 <BRG> v1 - N_01 * v0 = 0.0 | 168.0 105.0 | 1.0 1.6 273.0 |
They charged N_00 dollars for adults and N_01 dollars for children. N_02 adults and children attended, and N_03 dollars was made from ticket sales. How many children and adults went to the film premiere? | N_00 * v0 + N_01 * v1 = N_03 <BRG> v0 + v1 = N_02 | 25.0 102.0 | 7.0 5.0 127.0 839.0 |
Bob invested N_00 dollars in N_01 funds, which pay N_03 and N_04 simple interest, respectively. The combined interest he earned for both funds was N_02 dollars for one year. How many dollars were invested at N_03 ? How much was invested at N_04 ? | N_03 * v0 + N_04 * v1 = N_02 <BRG> v1 + v0 = N_00 | 3900.0 2200.0 | 6100.0 2.0 405.0 0.07 0.06 |
A bottle of wine with a cork cost N_00 dollars. A bottle of wine without a cork costs N_01 dollars more than the cork. What is the price of the cork? | v0 + v1 = N_00 <BRG> v0 - v1 = N_01 | 0.05 2.05 | 2.1 2.0 |
For a matinee, a movie theater charges N_00 dollars for children and N_01 dollars for adults. At today's matinee, there are N_02 more children than adults, and the total receipts are N_03 dollars. How many children are at today's matinee? | N_00 * v0 + N_01 * v1 = N_03 <BRG> v0 - v1 = N_02 | 48.0 28.0 | 4.5 6.75 20.0 405.0 |
Three times a number is the same as the difference of twice the number and seven. Find the number. | 2.0 * v0 - 3.0 * v0 = 7.0 | -7.0 | null |
The grocer has peanuts for N_00 dollars a pound and walnuts for N_01 dollars a pound. How many pounds of peanuts and walnuts must we mix to get N_02 pounds of a mixture to sell for N_03 dollars per pound. | N_00 * v0 + N_01 * v1 = N_02 * N_03 <BRG> v0 + v1 = N_02 | 10.0 30.0 | 3.75 2.75 40.0 3.0 |
The total cost of a shirt and a sweater is N_00 dollars. If the price of the shirt is N_01 dollars less than the sweater, what was the price of the shirt in dollars? | v0 + v1 = N_00 <BRG> v0 - v1 = N_01 | 36.455 43.885 | 80.34 7.43 |
Wal-Mart sells thermometers for N_00 dollars and hot-water bottles for N_01 dollars. In December, Wal-Mart's total sales for these two items was N_02 dollars. Customers bought N_03 times as many thermometers as hot-water bottles. How many thermometers did Wal-Mart sell? How many hot-water bottles? | N_01 * v0 + N_00 * v1 = N_02 <BRG> N_03 * v0 - v1 = 0.0 | 420.0 60.0 | 2.0 6.0 1200.0 7.0 |
A swim team has N_00 times as many girls as boys. There are a total of N_01 people on the swim team. How many girls and boys are there on the team? | v0 + v1 = N_01 <BRG> v1 - N_00 * v0 = 0.0 | 80.0 16.0 | 5.0 96.0 |
The sum of N_01 numbers is N_00 . The larger number is N_01 more than N_02 times the smaller number. Find the smaller number. Find the larger number. | v0 - N_02 * v1 = N_01 <BRG> v0 + v1 = N_00 | 17.0 53.0 | 70.0 2.0 3.0 |
The difference of N_00 times a number and N_01 is N_02 . Find the number. | N_00 * v0 = N_01 + N_02 | 15.0 | 3.0 5.0 40.0 |
Think of a number, half it, and the result is N_00 . Find the number. | 0.5 * v0 = N_00 | 18.0 | 9.0 |
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