Question stringlengths 22 476 | Equation stringlengths 6 103 | Answer stringlengths 1 34 | Numbers stringlengths 3 58 ⌀ |
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Soybean meal is N_00 protein, and cornmeal is N_01 . How many pounds of each should be mixed together in order to get a N_02 -pound mixture that is N_03 protein? | N_00 * v0 + N_01 * v1 = N_02 * 15.0 <BRG> v0 + v1 = N_02 | 280.0 40.0 | 0.16 0.08 320.0 0.15 |
A plane is using fuel at the rate of N_00 gallons per hour, and it has N_01 gallons left in its tank. How long can the plane continue to fly? | N_00 * v0 = N_01 | 0.6667 | 9.5 6.3333 |
Mitch is buying candy bars for his friends. He wants to give N_00 bars to each friend, and he wants to have N_01 spare bars. He can afford to buy N_02 candy bars. How many friends can he treat? | N_00 * v0 = N_02 - N_01 | 7.0 | 2.0 10.0 24.0 |
Your family goes to a restaurant for dinner. There are N_00 people in your family. Some order the chicken dinner for N_01 dollars, and some order the steak dinner for N_02 dollars. If the total bill was N_03 dollars, how many people ordered the steak dinner. How many people ordered the chicken dinner? | N_02 * v0 + N_01 * v1 = N_03 <BRG> v0 + v1 = N_00 | 5.0 1.0 | 6.0 14.8 17.0 91.0 |
The sum of two numbers is N_00 . The greater number exceeds twice the smaller number by N_01 . What are the two numbers? | v0 - 2.0 * v1 = N_01 <BRG> v0 + v1 = N_00 | 19.0 43.0 | 62.0 5.0 |
A car rents for N_00 dollars per day plus N_01 cents per mile. You are on a daily budget of N_02 dollars. What mileage can you go and stay within your budget? | 0.01 * N_01 * v0 = N_02 - N_00 | 200.0 | 30.0 23.0 76.0 |
For a certain event, N_00 tickets were sold, for a total of N_01 dollars. If students paid N_02 dollars per ticket and nonstudents paid N_03 dollars per ticket, how many student tickets were sold? | N_02 * v0 + N_03 * v1 = N_01 <BRG> v0 + v1 = N_00 | 530.0 291.0 | 821.0 1933.0 2.0 3.0 |
How many liters of N_00 saline solution and N_01 saline solution must be mixed together to get N_02 liters of N_03 saline solution? | N_00 * v0 + N_01 * v1 = N_02 * N_03 <BRG> v0 + v1 = N_02 | 3.5 6.5 | 0.05 0.25 10.0 0.18 |
N_00 high-speed trains are N_01 miles apart and traveling toward each other. They meet in N_02 hours. If one train is N_03 miles per hour faster than the other, find the speed of the slower train in miles per hour. Find the speed of the faster train. | N_02 * v0 + N_02 * v1 = N_01 <BRG> v1 - v0 = N_03 | 40.0 55.0 | 2.0 380.0 4.0 15.0 |
A chemist has two solutions. One has N_00 the other N_01 concentrate. How many liters of each solution must be mixed to obtain N_02 liters of N_03 solution? | N_00 * v0 + N_01* v1 = N_02 * N_03 <BRG> v0 + v1 = N_02 | 77.4 51.6 | 0.4 0.25 129.0 0.34 |
Tickets for adults are N_00 dollars, and tickets for children are N_01 dollars. How many adult tickets and children's tickets were purchased if N_02 tickets were bought for N_03 dollars? | N_00 * v0 + N_01 * v1 = N_03 <BRG> v0 + v1 = N_02 | 5.0 16.0 | 5.5 3.5 21.0 83.5 |
Jerry Weller received N_00 more votes than opponent John Pavich. If the total number of votes was N_01, find the number of votes for Jerry. Find the number of votes for John. | v0 + v1 = N_01 <BRG> v0 - v1 = N_00 | 108375.0 88179.0 | 20196.0 196554.0 |
A N_02 sugar solution is added to an N_03 sugar solution to create N_00 milliliters of a N_01 solution. How many milliliters of the N_02 solution should be used? How many milliliters of the N_03 solution? | N_02 * v0 + N_03 * v1 = N_00 * N_01 <BRG> v0 + v1 = N_00 | 1000.0 800.0 | 1800.0 0.6 0.4 0.85 |
Joey makes N_00 pounds of a coffee mix. Columbian coffee selling for N_01 dollars per pound is mixed with Brazilian coffee selling for N_02 dollars per pound. The final mix sells for N_03 dollars per pound. How much of each type of coffee is used in the mix? | N_01 * v0 + N_02 * v1 = N_00 * N_03 <BRG> v0 + v1 = N_00 | 52.0 48.0 | 100.0 8.75 3.75 6.35 |
Adult tickets for a play cost N_00 dollars, and child tickets cost N_01 dollar. 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? | N_01 * v0 + N_00 * v1 = N_03 <BRG> v0 + v1 = N_02 | 18.0 4.0 | 8.0 1.0 22.0 50.0 |
Harold had a summer lemonade stand where he sold small cups of lemonade for N_00 dollars and large cups for N_01 dollars. If Harold sold a total of N_02 cups of lemonade and collected a total of N_03 dollars, how many small cups and large cups did he sell? | N_00 * v0 + N_01 * v1 = N_03 <BRG> v0 + v1 = N_02 | 98.0 57.0 | 1.25 2.5 155.0 265.0 |
A mixture of water and antifreeze in a car is N_00 antifreeze. In colder climates, this mixture should contain N_01 antifreeze. If the radiator contains N_02 gallons of fluid, how many gallons of radiator fluid should be drained and replaced with a mixture containing N_03 antifreeze? | N_00 * v0 + N_03 * v1 = N_02 * N_01 <BRG> v0 + v1 = N_02 | 2.2857 1.7143 | 0.1 0.5 4.0 0.8 |
Tickets to a movie were sold at N_00 dollars per adult and N_01 dollars per student. If N_02 tickets were sold for a total of N_03 dollars, how many student tickets were sold? How many adult tickets were sold? | N_00 * v0 + N_01 * v1 = N_03 <BRG> v0 + v1 = N_02 | 130.0 110.0 | 4.0 2.5 240.0 765.0 |
A student works N_00 part-time jobs. He earns N_01 dollars an hour working at the college library and N_02 dollars an hour for construction work. To save time for study, he limits his work to N_03 hours a week. If he enjoys the work at the library more, how many hours can he work at the library and still earn N_04 doll... | N_01 * v0 + N_02 * v1 = N_04 <BRG> v0 + v1 = N_03 | 10.714 14.2857 | 2.0 8.0 15.0 25.0 300.0 |
The sum of two numbers is N_00 , and the difference is N_01 . Find the two numbers. | v0 + v1 = N_00 <BRG> v0 - v1 = N_01 | 23.0 9.0 | 32.0 14.0 |
X pounds of candy valued at N_00 dollars per pound is mixed with Y pounds of candy valued at N_01 dollars per pound to produce N_02 pounds of a mixture selling for N_03 dollars per pound. Find X and Y, the number of pounds of each type. | N_01 * v0 + N_00 * v1 = N_02 * N_03 <BRG> v0 + v1 = N_02 | 3.75 6.25 | 3.5 4.3 10.0 4.0 |
One solution contains N_00 alcohol, and another solution contains N_01 alcohol. How many liters of N_00 alcohol and N_01 alcohol should be mixed to produce N_02 liters of a N_03 alcohol solution? | N_00* v0 + N_01 * v1 = N_02 * N_03 <BRG> v0 + v1 = N_02 | 3.5 7.0 | 0.5 0.8 10.5 0.7 |
A candy store wishes to mix N_01 types of candy to get N_00 pounds of N_01 dollars per pound candy. If candy A costs N_02 dollars per pound and candy B costs N_03 dollars per pound, how many pounds of candy A and candy B should be mixed? | N_02 * v0 + N_03 * v1 = N_00 * N_01 <BRG> v0 + v1 = N_00 | 1.0 4.0 | 5.0 2.0 3.2 1.7 |
A plane flies N_00 miles with a tailwind in N_01 hours. The same plane takes N_02 hours to make the return trip against the wind. What is the speed of the plane in still air? | N_01 * v0 + N_01 * v1 = N_00 <BRG> N_02 * v0 - N_02 * v1 = N_00 | 262.5 37.5 | 900.0 3.0 4.0 |
N_00 ducks and N_01 pigs cost N_02 dollars, while N_03 ducks and N_04 pigs cost N_05 dollars. Find the cost of a duck and a pig. | N_00 * v0 + N_01 * v1 = N_02 <BRG> N_03 * v0 + N_04 * v1 = N_05 | 13.0 27.0 | 6.0 5.0 213.0 2.0 9.0 269.0 |
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs and variable costs. The one-time fixed costs will amount to N_00 dollars. The variable costs will be N_01 dollars per book. The publisher will sell the finished product to bookstores at a price of N_02 d... | N_02 * v0 - N_01 * v0 = N_00 | 4072.0 | 35630 .0 11.5 20.25 |
N_02 footballs and N_04 soccer ball cost N_00 dollars. N_01 footballs and N_02 soccer balls cost N_03 dollars. Determine the cost of N_04 football and the cost of one soccer ball in dollars. | N_02 * v0 + N_04 * v1 = N_00 <BRG> N_01 * v0 + N_02 * v1 = N_03 | 35.0 50.0 | 155.0 2.0 3.0 220.0 1.0 |
A department store held a sale to sell all of the N_00 winter jackets that remained after the season ended. Until noon, each jacket in the store was priced at N_01 dollars. At noon, the price of the jackets was further reduced to N_02 dollars. After the last jacket was sold, the total receipts for the clearance sale we... | N_01 * v0 + N_02 * v1 = N_03 <BRG> v0 + v1 = N_00 | 81.0 133.0 | 214.0 31.95 18.95 5108.3 |
Find the N_00 numbers whose sum is N_01 and whose difference is N_02 . | v0 + v1 = N_01 <BRG> v0 - v1 = N_02 | 42.0 66.0 | 2.0 108.0 24.0 |
A baseball team has home games on Wednesday and Saturday. The two games together earn N_00 dollars for the team. Wednesday's game generates N_01 dollars less than Saturday's game. How much money was taken in at Wednesday's game? How much money was taken in at Saturday's game? | v0 + v1 = N_00 <BRG> v0 - v1 = N_01 | 2520.0 2662.5 | 5182.5 142.5 |
You had N_00 dollars to spend and purchased N_01 sets of dishes. If you spent everything, how many N_02 dollars sets did you purchase? How many N_03 dollars sets did you purchase? | N_02 * v0 + N_03 * v1 = N_00 <BRG> v0 + v1 = N_01 | 178.0 72.0 | 6800.0 250.0 20.0 45.0 |
An athlete can burn N_00 calories per minute while running and N_01 calories per minute while walking. If the athlete burns N_02 calories in N_03 minutes, how many minutes are spent running? How many minutes are spent walking? | N_00 * v0 + N_01 * v1 = N_02 <BRG> v0 + v1 = N_03 | 35.0 25.0 | 10.0 4.0 450.0 60.0 |
Anne and Nancy use a metal alloy that is N_00 copper to make jewelry. How many ounces of a N_01 alloy must be mixed with a N_02 alloy to form N_03 ounces of the desired alloy? | N_01 * v0 + N_02 * v1 = N_03 * N_00 <BRG> v0 + v1 = N_03 | 30.0 70.0 | 0.249 0.2 0.27 100.0 |
N_00 times a number is added to N_01 times a number to get N_02 . The second number is N_03 less than the first. What is the smaller number? What is the larger number? | N_00 * v0 + N_01 * v1 = N_02 <BRG> v0 - v1 = N_03 | 6.0 8.0 | 3.0 5.0 54.0 2.0 |
Jordan's salary is N_00 dollars a month plus a N_01 commission on all of his sales. What must the amount of his sales be, in dollars, for him to earn at least N_02 dollars each month? | N_01 * v0 = N_02 - N_00 | 5000.0 | 1250.0 0.05 1500.0 |
Cynthia works at a grocery store. She knows that for every N_00 cans of tomato soup she sells, she will sell N_01 cans of chili beans. This week she ordered a total of N_02 cans. How many cans of chili beans did she order? | N_01 * v0 - N_00 * v1 = 0.0 <BRG> v0 + v1 = N_02 | 8.0 4.0 | 2.0 4.0 12.0 |
A N_00 -inch board is cut into N_01 pieces. One piece is N_01 times the length of the other. What is the length of the shorter piece, in inches? What is the length of the longer piece? | v0 + v1 = N_00 <BRG> v1 - N_01 * v0 = 0.0 | 23.0 46.0 | 69.0 2.0 |
An investor will invest a total of N_00 dollars in N_01 accounts, one paying N_03 annual simple interest and the other N_04 . If he wants to earn N_02 dollars annual interest, how much should he invest at N_03 ? How much at N_04 ? | N_03* v0 + N_04* v1 = N_02 <BRG> v1 + v0 = N_00 | 10000.0 5000.0 | 15000.0 2.0 550.0 0.04 0.03 |
Two investments earn an annual income of N_00 dollars. One investment earns an annual simple interest rate of N_01 , and the other investment earns an annual simple interest rate of N_02 . The amount invested is N_03 dollars. How much money is invested in the first investment and second investment, respectively? | N_02 * v0 + N_01 * v1 = N_00 <BRG> v1 + v0 = N_03 | 3000.0 5000.0 | 575.0 0.085 0.064 8000.0 |
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 | 208.0 277.0 | 485.0 69.0 |
Tickets at a local theater cost N_00 dollars for adults and N_01 dollars for kids under twelve. If N_02 tickets were sold and the profit was N_03 dollars, how many kid tickets were sold? | N_00 * v0 + N_01 * v1 = N_03 <BRG> v0 + v1 = N_02 | 75.0 100.0 | 6.0 2.0 175.0 750.0 |
One unit of whole wheat flour has N_00 grams of protein and N_01 grams of fat. One unit of whole milk has N_02 grams of protein and N_03 grams of fat. To the nearest tenth, find the number of units of whole wheat flour and whole milk that must be mixed to make a dough that has N_04 grams of protein and N_05 grams of fa... | N_00 * v0 + N_02 * v1 = N_04 <BRG> N_01 * v0 + N_03 * v1 = N_05 | 5.416068866571019 0.39454806312769 | 13.6 2.5 3.4 3.7 75.0 15.0 |
A student inherited N_00 dollars. She invested part of it at N_02 and the rest at N_03 . If her total interest amounted to N_01 dollars, how much did she invest at N_02 ? At N_03 ? | N_02 * v0 + N_03* v1 = N_01 <BRG> v1 + v0 = N_00 | 3000.0 2000.0 | 5000.0 460.0 0.1 0.08 |
Amber has N_00 coins in nickels and dimes. In all, she has N_01 dollars. How many nickels and dimes does she have? | 0.05 * v0 + 0.1 * v1 = N_01 <BRG> v0 + v1 = N_00 | 18.0 12.0 | 30.0 2.1 |
There are N_00 animals on a farm, each of which is either a pig or a chicken. There are N_01 legs altogether. How many pigs are there? How many chickens? | v0 + v1 = N_00 <BRG> 2.0 * v0 + 4.0 * v1 = N_01 | 9.0 32.0 | 41.0 100.0 |
Max bought N_00 pounds of nuts at a party. The total cost was N_01 dollars. The peanuts cost N_02 dollars per pound, and the almonds cost N_03 dollars per pound. How many pounds of peanuts did max buy? How many pounds of almonds did Max buy? | N_02 * v0 + N_03 * v1 = N_01 <BRG> v0 + v1 = N_00 | 4.0 12.0 | 16.0 72.0 3.0 5.0 |
The greater of two numbers is N_00 times the lesser, and their sum is N_01 . Find the numbers. | v0 + v1 = N_01 <BRG> v1 - N_00 * v0 = 0.0 | 20.0 160.0 | 8.0 180.0 |
The sum of two consecutive even integers is at most N_00 . What are the greatest possible consecutive even integers? | v0 + v1 = N_00 <BRG> v0 - v1 = 2.0 | 14.0 16.0 | 30.0 |
A peach and an apple cost N_00 cents. The peach is more expensive than the apple by N_01 cents. What is the cost of a peach, in cents? What is the cost of an apple, in cents? | v0 + v1 = N_00 <BRG> v0 - v1 = N_01 | 65.0 5.0 | 70.0 60.0 |
There are N_00 numbers whose sum is N_01 , such that one is N_02 times as large as the other. What is the smaller number? What is the larger number? | v0 + v1 = N_01 <BRG> v1 - N_02 * v0 = 0.0 | 13.0 52.0 | 2.0 65.0 4.0 |
The sum of N_01 integers is N_00 . N_01 times the larger integer is N_02 less than N_03 times the smaller integer. Find the smaller number and larger number. | N_03 * v0 - N_01 * v1 = N_02 <BRG> v1 + v0 = N_00 | 10.0 20.0 | 30.0 2.0 10.0 5.0 |
The sum of N_00 numbers is N_01 . One number is N_02 times the other. Find the smaller number. Find the larger number. | v0 + v1 = N_01 <BRG> v1 - N_02 * v0 = 0.0 | 21.0 63.0 | 2.0 84.0 3.0 |
Admission tickets to a football game were N_00 cents for adults and N_01 cents for children. Receipts for the day showed that N_02 persons attended, and N_03 dollars was collected. How many adults attended? How many children attended? | 0.01 * N_00 * v0 + 0.01 * N_01 * v1 = N_03 <BRG> v1 + v0 = N_02 | 200.0 80.0 | 60.0 25.0 280.0 140.0 |
A car rents for N_00 dollars a day plus N_01 cents a mile. You are on a daily budget of N_02 dollars. What maximum mileage will allow you to stay within your budget? | 0.01 * N_01 * v0 = N_02 - N_00 | 190.0 | 50.0 20.0 88.0 |
The difference between two numbers is N_00 , and their sum is N_01 . Find the numbers. | v0 + v1 = N_01 <BRG> v0 - v1 = N_00 | 34.0 14.0 | 20.0 48.0 |
Lakota bought N_00 new compact disks, and N_01 used compact disks for N_02 dollars. At the same prices, Mackenzie bought N_03 new compact disks and N_04 used compact disks for N_05 dollars. Find the cost of buying a single used compact disk. | N_00 * v0 + N_01 * v1 = N_02 <BRG> N_03 * v0 + N_04 * v1 = N_05 | 9.99 17.99 | 6.0 2.0 127.92 3.0 8.0 133.89 |
The Rhapsody Theater sold N_00 total tickets. An advanced ticket costs N_01 dollars, and a ticket at the door costs N_02 dollars. In all, N_03 dollars was taken in. How many tickets were sold at the door? How many advanced tickets were sold? | N_01 * v0 + N_02 * v1 =N_03 <BRG> v0 + v1 = N_00 | 672.0 128.0 | 800.0 14.5 22.0 16640.0 |
Twice a number increased by N_00 is N_01 . Find the number. | 2.0 * v0 = N_01 - N_00 | 6.0 | 5.0 17.0 |
A washer and a dryer cost N_00 dollars combined. The price of the washer is N_01 times the price of the dryer. What is the cost of the dryer? | v0 + v1 = N_00 <BRG> v1 - N_01 * v0 = 0.0 | 150.0 450.0 | 600.0 3.0 |
Paul has N_00 postcards. He has N_01 times as many large postcards as small postcards. How many small postcards does he have? How many large postcards? | v0 + v1 = N_00 <BRG> v1 - N_01 * v0 = 0.0 | 6.0 24.0 | 30.0 4.0 |
An employment agency specializing in temporary construction help pays heavy equipment operators N_00 dollars per day and general laborers N_01 dollars per day. If N_02 people were hired and the payroll was N_03 dollars, how many heavy equipment operators were employed? How many laborers were employed? | N_00 * v0 + N_01 * v1 = N_03 <BRG> v0 + v1 = N_02 | 16.0 19.0 | 140.0 90.0 35.0 3950.0 |
The sum of N_00 numbers is N_01 . The second is N_02 more than N_03 times the first. Find the smaller number. Find the larger number. | v0 - N_03 * v1 = N_02 <BRG> v0 + v1 = N_01 | 15.0 55.0 | 2.0 70.0 10.0 3.0 |
Flying with the wind, a bird was able to make N_00 kilometers per hour. If the wind was N_01 times as strong and the bird flies against it, it could make only N_02 kilometers per hour. Find the velocity of the wind in kilometers per hour. Find the velocity of the bird. | v0 - N_01 * v1 = N_02 <BRG> v0 + v1 = N_00 | 80.0 70.0 | 150.0 0.5 30.0 |
A total of N_00 dollars is invested in N_01 municipal bonds that pay N_04 and N_02 simple interest. The investor wants an annual interest income of N_03 dollars from the investments. What amount should be invested in the N_04 bond? | N_04 * v0 + N_02* v1 = N_03 <BRG> v1 + v0 = N_00 | 20000.0 12000.0 | 32000.0 2.0 0.0625 1900.0 0.0575 |
Terry did all N_00 problems on his test and got an N_01 . Scores are computed by giving N_02 points for each right answer and subtracting one point for each wrong answer. How many problems did terry get right and wrong? | N_02 * v0 - 1.0 * v1 = N_01 <BRG> v1 + v0 = N_00 | 22.0 3.0 | 25.0 85.0 4.0 |
It took me N_00 minutes to walk N_01 meters. How fast was I traveling? | N_00 * v0 = N_01 | 83.33333333 | 6.0 500.0 |
One number is N_00 more than N_01 times another number. Their sum is N_02 . Find the smaller number. | v0 - N_01 * v1 = N_00 <BRG> v0 + v1 = N_02 | 11.0 44.0 | 11.0 3.0 55.0 |
At a movie theater, tickets cost N_00 dollars for adults and N_01 dollars for children. A group of N_02 moviegoers pays a total of N_03 dollars. How many adults and children were in the group? | N_00 * v0 + N_01 * v1 = N_03 <BRG> v0 + v1 = N_02 | 3.0 4.0 | 9.5 6.5 7.0 54.5 |
A cashier at Apex Parts received a check for N_00 dollars for N_01 parts. Some parts cost N_02 dollars per part, and other parts cost N_03 dollars per part. How many N_02 -dollar parts are in the order? How many N_03 -dollar parts are in the order? | N_02 * v0 + N_03 * v1 = N_00 <BRG> v0 + v1 = N_01 | 19.0 40.0 | 2380.0 59.0 20.0 50.0 |
A N_00 -foot pipe is cut into N_01 pieces, one of which is N_02 feet less than the other. What is the length of the shorter piece in feet? | v0 + v1 = N_00 <BRG> v0 - v1 = N_02 | 28.0 40.0 | 68.0 2.0 12.0 |
Pencils cost N_00 dollars per carton and erasers cost N_01 dollars per carton. If an order comes in for a total of N_02 cartons for N_03 dollars, what was the specific number of cartons of pencils? | N_00 * v0 + N_01 * v1 = N_03 <BRG> v0 + v1 = N_02 | 20.0 80.0 | 6.0 3.0 100.0 360.0 |
Customers of a phone company can choose between N_00 service plans for long-distance calls. The first plan has a N_01 dollars monthly fee and charges an additional N_02 dollars for each minute of calls. The second plan has an N_03 dollars monthly fee and charges an additional N_04 dollars for each minute of calls. For ... | N_02 * v0 - N_04 * v0 = N_03 - N_01 | 280.0 | 2.0 22.0 0.13 8.0 0.18 |
One number is N_00 less than twice another. If their sum is N_01 , find the numbers. | 2.0 * v0 - v1 = N_00 <BRG> v0 + v1 = N_01 | 25.0 14.0 | 3.0 39.0 |
A chemist has two acid solutions. One solution is N_00 pure acid, and the other is N_01 pure acid. How much of N_00 pure acid and N_01 pure acid is needed to produce N_02 square-centimeters of a solution that is N_03 pure acid? | N_00 * v0 + N_01 * v1 = N_02 * N_03 <BRG> v0 + v1 = N_02 | 30.0 50.0 | 0.2 0.6 80.0 0.45 |
There are N_00 known nesting pairs of bald eagles in the lower N_02 states today. This is N_01 more pairs than in N_03 . How many nesting pairs of bald eagles were there in the lower N_02 states in N_03 ? | v0 = N_00 - N_01 | 417.0 | 7066.0 6649.0 48.0 1963.0 |
A total of N_02 dollars is invested in N_00 funds paying N_03 and N_04 annual interest. The combined annual interest is N_01 dollars. How much of the N_02 ,000 dollars is invested at N_03 ? How much at N_04 ? | N_03* v0 + N_04 * v1 = N_01 <BRG> v1 + v0 = N_02 | 3500.0 6500.0 | 2.0 630.0 10000.0 0.05 0.07 |
If N_00 is subtracted from three times a number, the difference is twice the number. What is the number? | 3.0 * v0 - 2.0 * v0 = N_00 | 6.0 | 6.0 |
Lane invested N_00 dollars, part at N_03 and part at N_01 . If the total interest at the end of the year is N_02 dollars, how much did she invest at N_03 ? | 0.01 * N_03* v0 + 0.01 * N_02 * v1 = N_00 <BRG> v1 + v0 = N_02 | 17000.0 5000.0 | 22.0 0.07 1.0 0.08 |
A bricklayer lays an average of N_00 bricks per hour. During a job, he is called away and replaced by a less experienced man, who averages N_01 bricks per hour. The two men laid N_02 bricks in N_03 hours. How long did each work? | N_00 * v0 + N_01 * v1 = N_02 <BRG> v0 + v1 = N_03 | 3.0 4.0 | 150.0 120.0 930.0 7.0 |
A farmer had some chickens and some cows. She counted N_00 heads and N_01 legs. How many chickens and how many cows did she have? | v0 + v1 = N_00 <BRG> 2.0 * v0 + 4.0 * v1 = N_01 | 17.0 23.0 | 40.0 126.0 |
A woman invested a total of N_00 dollars in N_01 accounts, one earning N_02 annual interest and the other earning N_05 annual interest. After N_03 year, her combined interest was N_04 dollars. How much did she invest in the account of paying N_05 interest in dollars? | N_05 * v0 +N_02* v1 = N_04 <BRG> v1 + v0 = N_00 | 6258.0 2742.0 | 9000.0 2.0 0.065 1.0 678.87 0.08 |
A grocer wants to mix nuts which sell for rs N_00 per kilo with nuts which sell for rs N_01 per kilo in order to make a mixture which could sell for rs N_02 per kilo. How many kilos of each should he mix to get a mixture of N_03 kilos? | N_00 * v0 + N_01 * v1 = N_03 * N_02 <BRG> v0 + v1 = N_03 | 28.0 14.0 | 4.0 7.0 5.0 42.0 |
There are N_00 legs and N_01 heads of goats and chicken, so how many goats and chickens are there? | v0 + v1 = N_01 <BRG> 2.0 * v0 + 4.0 * v1 = N_00 | 2.0 11.0 | 30.0 13.0 |
Jason earns N_00 dollars per hour working after school, and he earns N_01 dollars per hour working on Saturday. If he works N_02 hours in a week and earned N_03 dollars, how many hours did he work on Saturday? | N_00 * v0 + N_01 * v1 = N_03 <BRG> v0 + v1 = N_02 | 8.0 10.0 | 4.0 6.0 18.0 88.0 |
Two planes start from Chicago at the same time and fly in opposite directions, one averaging a speed of N_00 miles per hour greater than the other. If they are N_01 miles apart after N_02 hours, find their average speeds. | N_02 * v0 + N_02 * v1 = N_01 <BRG> v1 - v0 = N_00 | 180.0 220.0 | 40.0 2000.0 5.0 |
Best Rentals charges a daily fee plus a mileage fee for renting its cars. Barney was charged N_00 dollars for N_01 days and N_02 miles, while Mary was charged N_03 dollars for N_04 days and N_05 miles. Find the daily fee and find the mileage charge? | N_01 * v0 + N_02 * v1 = N_00 <BRG> N_04 * v0 + N_05 * v1 = N_03 | 15.0 0.08 | 69.0 3.0 300.0 123.0 5.0 600.0 |
A bricklayer and an electrician together spend N_00 hours working on a new house. If the bricklayer earns N_01 dollars per hour, the electrician earns N_02 dollars an hour, and the owner pays them a total of N_03 dollars for their work. How many hours does the bricklayer work? How many hours does the electrician work? | N_01 * v0 + N_02 * v1 = N_03 <BRG> v0 + v1 = N_00 | 22.5 67.5 | 90.0 12.0 16.0 1350.0 |
Tennis rackets can be packaged in cartons holding N_02 rackets each or in cartons holding N_03 rackets each. Yesterday's packing slip showed that N_00 cartons were used to pack a total of N_01 rackets. How many cartons of N_02 rackets size were used yesterday? How many cartons of N_03 rackets size were used yesterday? | N_02 * v0 + N_03 * v1 = N_01 <BRG> v0 + v1 = N_00 | 14.0 24.0 | 38.0 100.0 2.0 3.0 |
The state market has N_00 more apples than oranges. There are N_01 apples and oranges all together. How many apples are in the market? | v0 + v1 = N_01 <BRG> v0 - v1 = N_00 | 164.0 137.0 | 27.0 301.0 |
River Joes's Seafood Dinner charges N_00 dollars for a catfish dinner and N_01 dollars for an order of popcorn shrimp. After filling N_02 orders, River Joe had collected N_03 dollars. How many orders of popcorn shrimp and catfish dinners did they sell? | N_00 * v0 + N_01 * v1 = N_03 <BRG> v0 + v1 = N_02 | 9.0 17.0 | 6.0 3.5 26.0 133.5 |
A water flow restrictor has reduced the flow of water to N_00 gallons per minute. This amount is N_01 gallon per minute less than N_02 the original flow rate. Find the original rate in gallons per minute. | N_02 * v0 = N_01 + N_00 | 5.0 | 2.0 1.0 0.6 |
The tallest player on the basketball team is N_00 inches tall. This is N_01 inches taller than the shortest player. How tall is the shortest player, in inches? | v0 = N_00 - N_01 | 68.25 | 77.75 9.5 |
A physician's assistant measures a child and finds that his height is N_00 inches. At his last visit to the doctor's office, the child was N_01 inches tall. How much did the child grow in inches? | v0 = N_00 - N_01 | 3.0 | 41.5 38.5 |
An ice skating rink charges N_00 dollars for admission and N_01 dollars to rent skates. Jill can purchase a new pair of skates for N_02 dollars. How many times would she need to go to the rink to justify buying the skates rather than renting a pair? | N_01 * v0 = N_02 | 26.0 | 5.0 2.5 65.0 |
Marc sold N_00 tickets for the school play. Student tickets cost N_01 dollars, and adult tickets cost N_02 dollars. Marc's sales totaled N_03 dollars. How many adult tickets and student tickets did Marc sell? | N_01 * v0 + N_02 * v1 = N_03 <BRG> v0 + v1 = N_00 | 294.0 269.0 | 563.0 4.0 6.0 2840.0 |
The Booster Club voted on where they would go for their annual trip. A majority of the club voted to go to a baseball game. They bought N_00 tickets. Some of the tickets cost N_02 dollars per ticket, and some cost N_03 dollars per ticket. All of the tickets cost N_01 dollars. How many N_02 -dollar tickets did they buy?... | N_02 * v0 + N_03 * v1 = N_01 <BRG> v0 + v1 = N_00 | 18.0 11.0 | 29.0 225.0 7.0 9.0 |
The difference between N_00 times a number and N_01 is N_02 . Find the number. | N_00 * v0 - N_01 = N_02 | -10.0 | 2.0 8.0 -12.0 |
N_00 of a number increased by N_01 is N_02 , what is the number? | N_00 * v0 = N_02 - N_01 | 1.375 | 0.6667 0.75 1.6667 |
There were N_00 people at a play. The admission price was N_01 dollars for adults and N_02 dollar for children. The admission receipts were N_03 dollars. How many adults and children attended? | N_02 * v0 + N_01 * v1 = N_03 <BRG> v0 + v1 = N_00 | 350.0 260.0 | 610.0 2.0 1.0 960.0 |
N_00 pairs of jeans and N_01 shirts cost N_02 dollars. The cost of N_03 pairs of jeans and N_04 shirts is N_05 dollars. Find the cost of each pair of jeans and each shirt. | N_00 * v0 + N_01 * v1 = N_02 <BRG> N_03 * v0 + N_04 * v1 = N_05 | 16.85 8.95 | 3.0 6.0 104.25 4.0 5.0 112.15 |
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