question
stringlengths 26
438
| final_answer
float64 -3,600
195k
| section
stringclasses 25
values | source
stringclasses 1
value |
|---|---|---|---|
Two-thirds of the children in the fourth-grade class are girls. If there are 20 girls, what is the total number of children in the class? | 30 | Use a Problem-Solving Strategy | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Zachary has 25 country music CDs, which is one-fifth of his CD collection. How many CDs does Zachary have? | 125 | Use a Problem-Solving Strategy | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
There are 16 girls in a school club. The number of girls is four more than twice the number of boys. Find the number of boys. | 6 | Use a Problem-Solving Strategy | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Huong is organizing paperback and hardback books for her club’s used book sale. The number of paperbacks is 12 less than three times the number of hardbacks. Huong had 162 paperbacks. How many hardback books were there? | 58 | Use a Problem-Solving Strategy | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Philip pays $1,620 in rent every month. This amount is $120 more than twice what his brother Paul pays for rent. How much does Paul pay for rent? | 750 | Use a Problem-Solving Strategy | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Laurie has $46,000 invested in stocks and bonds. The amount invested in stocks is $8,000 less than three times the amount invested in bonds. How much does Laurie have invested in bonds? | 13,500 | Use a Problem-Solving Strategy | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
The sum of a number and eight is 12. Find the number. | 4 | Use a Problem-Solving Strategy | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
The sum of three times a number and eight is 23. Find the number. | 5 | Use a Problem-Solving Strategy | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Three times the sum of a number and nine is 12. Find the number. | -5 | Use a Problem-Solving Strategy | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Patty paid $35 for a purse on sale for $10 off the original price. What was the original price of the purse? | 45 | Use a Problem-Solving Strategy | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Minh spent $6.25 on five sticker books to give his nephews. Find the cost of each sticker book. | 1.25 | Use a Problem-Solving Strategy | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Tom paid $1,166.40 for a new refrigerator, including $86.40 tax. What was the price of the refrigerator? | 1,080 | Use a Problem-Solving Strategy | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Dezohn and his girlfriend enjoyed a nice dinner at a restaurant and his bill was $68.50. He wants to leave an 18% tip. If the tip will be 18% of the total bill, how much tip should he leave? | 12.33 | Solve Percent Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
The label on Masao’s breakfast cereal said that one serving of cereal provides 85 milligrams (mg) of potassium, which is 2% of the recommended daily amount. What is the total recommended daily amount of potassium? | 4,250 | Solve Percent Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Mitzi received some gourmet brownies as a gift. The wrapper said each brownie was 480 calories, and had 240 calories of fat. What percent of the total calories in each brownie comes from fat? | 50 | Solve Percent Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
The average price of a gallon of gas in one city in June 2014 was $3.71. The average price in that city in July was $3.64. Find the percent decrease. | 1.9 | Solve Percent Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Geneva treated her parents to dinner at their favorite restaurant. The bill was $74.25. Geneva wants to leave 16% of the total bill as a tip. How much should the tip be? | 11.88 | Solve Percent Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Trong has 12% of each paycheck automatically deposited to his savings account. His last paycheck was $2165. How much money was deposited to Trong’s savings account? | 259.8 | Solve Percent Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
One serving of oatmeal has eight grams of fiber, which is 33% of the recommended daily amount. What is the total recommended daily amount of fiber, in grams? | 24.2 | Solve Percent Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
A bacon cheeseburger at a popular fast food restaurant contains 2070 milligrams (mg) of sodium, which is 86% of the recommended daily amount. What is the total recommended daily amount of sodium, in milligrams? | 2,407 | Solve Percent Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa’s original weight, in pounds? | 175 | Solve Percent Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Yuki bought a dress on sale for $72. The sale price was 60% of the original price. What was the original price of the dress? | 120 | Solve Percent Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Tim left a $9 tip for a $50 restaurant bill. What percent tip did he leave? | 18 | Solve Percent Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
The nutrition fact sheet at a fast food restaurant says the fish sandwich has 380 calories, and 171 calories are from fat. What percent of the total calories is from fat? | 45 | Solve Percent Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Emma gets paid $3,000 per month. She pays $750 a month for rent. What percent of her monthly pay goes to rent? | 25 | Solve Percent Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Tamanika got a raise in her hourly pay, from $15.50 to $17.36. Find the percent increase. | 12 | Solve Percent Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Annual student fees at the University of California rose from about $4,000 in 2000 to about $12,000 in 2010. Find the percent increase. | 200 | Solve Percent Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
A grocery store reduced the price of a loaf of bread from $2.80 to $2.73. Find the percent decrease. | 2.5 | Solve Percent Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Hernando’s salary was $49,500 last year. This year his salary was cut to $44,055. Find the percent decrease. | 11 | Solve Percent Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
At the campus coffee cart, a medium coffee costs $1.65. MaryAnne brings $2.00 with her when she buys a cup of coffee and leaves the change as a tip. What percent tip does she leave? | 21.2 | Solve Percent Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
At a school concert, the total value of tickets sold was $1,506. Student tickets sold for $6 each and adult tickets sold for $9 each. The number of adult tickets sold was five less than three times the number of student tickets sold. How many student tickets were sold? | 47 | Solve Mixture Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Galen sold 810 tickets for his church’s carnival for a total of $2,820. Children’s tickets cost $3 each and adult tickets cost $5 each. How many children’s tickets did he sell? | 615 | Solve Mixture Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Monica paid $8.36 for stamps. The number of 41-cent stamps was four more than twice the number of two-cent stamps. How many 41-cent stamps did Monica buy? | 20 | Solve Mixture Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Henning is mixing raisins and nuts to make 10 pounds of trail mix. Raisins cost $2 a pound and nuts cost $6 a pound. If Henning wants his cost for the trail mix to be $5.20 a pound, how many pounds of raisins should he use? | 2 | Solve Mixture Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
The school play sold $550 in tickets one night. The number of $8 adult tickets was 10 less than twice the number of $5 child tickets. How many of adult tickets were sold? | 50 | Solve Mixture Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
The movie theater took in $1,220 one Monday night. The number of $7 child tickets was ten more than twice the number of $9 adult tickets. How many of child tickets were sold? | 110 | Solve Mixture Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
The ice rink sold 95 tickets for the afternoon skating session, for a total of $828. General admission tickets cost $10 each and youth tickets cost $8 each. How many general admission tickets were sold? | 34 | Solve Mixture Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
The box office sold 360 tickets to a concert at the college. The total receipts were $4170. General admission tickets cost $15 and student tickets cost $10. How many general admission tickets were sold? | 114 | Solve Mixture Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Julie went to the post office and bought both $0.41 stamps and $0.26 postcards. She spent $51.40. The number of stamps was 20 more than twice the number of postcards. How many $0.41 stamps did she buy? | 100 | Solve Mixture Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Maria spent $12.50 at the post office. She bought three times as many $0.41 stamps as $0.02 stamps. How many $0.41 stamps did she buy? | 30 | Solve Mixture Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Hilda has $210 worth of $10 and $12 stock shares. The numbers of $10 shares is five more than twice the number of $12 shares. How many $10 shares does she have? | 15 | Solve Mixture Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Lauren in making 15 liters of mimosas for a brunch banquet. Orange juice costs her $1.50 per liter and champagne costs her $12 per liter. How many liters of orange juice should she use for the mimosas to cost Lauren $5 per liter? | 10 | Solve Mixture Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Kaapo is mixing Kona beans and Maui beans to make 25 pounds of coffee blend. Kona beans cost Kaapo $15 per pound and Maui beans cost $24 per pound. How many pounds of Kona beans should Kaapo use for his blend to cost him $17.70 per pound? | 17.5 | Solve Mixture Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
As the treasurer of her daughter’s Girl Scout troop, Laney collected money for some girls and adults to go to a 3-day camp. Each girl paid $75 and each adult paid $30. The total amount of money collected for camp was $765. If the number of girls is three times the number of adults, how many girls paid for camp? | 9 | Solve Mixture Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
An express train and a local train leave Pittsburgh to travel to Washington, D.C. The express train can make the trip in 4 hours and the local train takes 5 hours for the trip. The speed of the express train is 12 miles per hour faster than the speed of the local train. Find the speed of the express train, in miles per hour. | 60 | Solve Uniform Motion Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Christopher and his parents live 115 miles apart. They met at a restaurant between their homes to celebrate his mother’s birthday. Christopher drove 1.5 hours while his parents drove 1 hour to get to the restaurant. Christopher’s average speed was 10 miles per hour faster than his parents’ average speed. What were the average speed of Christopher as he drove to the restaurant, in miles per hour? | 50 | Solve Uniform Motion Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Two truck drivers leave a rest area on the interstate at the same time. One truck travels east and the other one travels west. The truck traveling west travels at 70 mph and the truck traveling east has an average speed of 60 mph. How many hours will they travel before they are 325 miles apart? | 2.5 | Solve Uniform Motion Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
When Katie Mae walks to school, it takes her 30 minutes. If she rides her bike, it takes her 15 minutes. Her speed is three miles per hour faster when she rides her bike than when she walks. What is her walking speed, in miles per hour? | 3 | Solve Uniform Motion Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Lilah is moving from Portland to Seattle. It takes her three hours to go by train. Mason leaves the train station in Portland and drives to the train station in Seattle with all Lilah’s boxes in his car. It takes him 2.4 hours to get to Seattle, driving at 15 miles per hour faster than the speed of the train. Find Mason’s speed, in miles per hour. | 75 | Solve Uniform Motion Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Two busses go from Sacramento for San Diego. The express bus makes the trip in 6.8 hours and the local bus takes 10.2 hours for the trip. The speed of the express bus is 25 mph faster than the speed of the local bus. Find the speed of the express bus, in mph. | 75 | Solve Uniform Motion Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Saul drove his truck 3 hours from Dallas towards Kansas City and stopped at a truck stop to get dinner. At the truck stop he met Erwin, who had driven 4 hours from Kansas City towards Dallas. The distance between Dallas and Kansas City is 542 miles, and Erwin’s speed was eight miles per hour slower than Saul’s speed. Find the speed of Saul, in mph. | 82 | Solve Uniform Motion Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Sisters Helen and Anne live 332 miles apart. For Thanksgiving, they met at their other sister’s house partway between their homes. Helen drove 3.2 hours and Anne drove 2.8 hours. Helen’s average speed was four miles per hour faster than Anne’s. Find Helen’s average speed, in miles per hour. | 57.2 | Solve Uniform Motion Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Elvira and Aletheia live 3.1 miles apart on the same street. They are in a study group that meets at a coffee shop between their houses. It took Elvira half an hour and Aletheia two-thirds of an hour to walk to the coffee shop. Aletheia’s speed is 0.6 miles per hour slower than Elvira’s speed. Find Elvira’s walking speed, in miles per hour. | 3 | Solve Uniform Motion Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Cindy and Richard leave their dorm in Charleston at the same time. Cindy rides her bicycle north at a speed of 18 miles per hour. Richard rides his bicycle south at a speed of 14 miles per hour. How many hours will it take them to be 96 miles apart? | 3 | Solve Uniform Motion Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Two busses leave Billings at the same time. The Seattle bus heads west on I-90 at a speed of 73 miles per hour while the Chicago bus heads east at a speed of 79 miles an hour. How many hours will it take them to be 532 miles apart? | 3.5 | Solve Uniform Motion Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Lorena walks the path around the park in 30 minutes. If she jogs, it takes her 20 minutes. Her jogging speed is 1.5 miles per hour faster than her walking speed. Find Lorena’s walking speed, in miles per hour. | 3 | Solve Uniform Motion Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Cassius drives his boat upstream for 45 minutes. It takes him 30 minutes to return downstream. His speed going upstream is three miles per hour slower than his speed going downstream. Find his upstream speed, in miles per hour. | 6 | Solve Uniform Motion Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Three-fourths of the people at a concert are children. If there are 87 children, what is the total number of people at the concert? | 116 | Use a Problem-Solving Strategy | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
The sum of a number and three is forty-one. Find the number. | 38 | Use a Problem-Solving Strategy | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
What number is 67% of 250? | 167.5 | Solve Percent Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
12.5% of what number is 20? | 160 | Solve Percent Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
What percent of 125 is 150? | 120 | Solve Percent Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
The bill for Dino’s lunch was $19.45. He wanted to leave 20% of the total bill as a tip. How much should the tip be? | 3.89 | Solve Percent Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Dolores bought a crib on sale for $350. The sale price was 40% of the original price. What was the original price of the crib? | 875 | Solve Percent Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Angel’s got a raise in his annual salary from $55,400 to $56,785. Find the percent increase. | 2.5 | Solve Percent Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Paulette has $140 in $5 and $10 bills. The number of $10 bills is one less than twice the number of $5 bills. How many $5 bills does she have? | 6 | Solve Mixture Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
A church luncheon made $842. Adult tickets cost $10 each and children’s tickets cost $6 each. The number of children was 12 more than twice the number of adults. How many adult tickets were sold? | 35 | Solve Mixture Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
125 tickets were sold for the jazz band concert for a total of $1,022. Student tickets cost $6 each and general admission tickets cost $10 each. How many student tickets were sold? | 57 | Solve Mixture Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Ana spent $4.06 buying stamps. The number of $0.41 stamps she bought was five more than the number of $0.26 stamps. How many $0.41 stamps did she buy? | 8 | Solve Mixture Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Marquese is making 10 pounds of trail mix from raisins and nuts. Raisins cost $3.45 per pound and nuts cost $7.95 per pound. How many pounds of raisins should Marquese use for the trail mix to cost him $6.96 per pound? | 2.2 | Solve Mixture Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
When Gabe drives from Sacramento to Redding it takes him 2.2 hours. It takes Elsa 2 hours to drive the same distance. Elsa’s speed is seven miles per hour faster than Gabe’s speed. Find Gabe’s speed, in miles per hour. | 70 | Solve Uniform Motion Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Two busses leave Amarillo at the same time. The Albuquerque bus heads west on the I-40 at a speed of 72 miles per hour, and the Oklahoma City bus heads east on the I-40 at a speed of 78 miles per hour. How many hours will it take them to be 375 miles apart? | 2.5 | Solve Uniform Motion Applications | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Sondra is making 10 quarts of punch from fruit juice and club soda. The number of quarts of fruit juice is 4 times the number of quarts of club soda. How many quarts of fruit juice does Sondra need? | 8 | Solve Systems of Equations by Graphing | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Molly is making strawberry infused water. For each ounce of strawberry juice, she uses three times as many ounces of water. How many ounces of strawberry juice does she need to make 64 ounces of strawberry infused water? | 16 | Solve Systems of Equations by Graphing | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Enrique is making a party mix that contains raisins and nuts. For each ounce of nuts, he uses twice the amount of raisins. How many ounces of nuts does he need to make 24 ounces of party mix? | 8 | Solve Systems of Equations by Graphing | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Leo is planning his spring flower garden. He wants to plant tulip and daffodil bulbs. He will plant 6 times as many daffodil bulbs as tulip bulbs. If he wants to plant 350 bulbs, how many tulip bulbs should he plant? | 50 | Solve Systems of Equations by Graphing | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
The perimeter of a rectangle is 88. The length is five more than twice the width. Find the length. | 31 | Solving Systems of Equations by Substitution | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Heather has been offered two options for her salary as a trainer at the gym. Option A would pay her $25,000 plus $15 for each training session. Option B would pay her $10,000 + $40 for each training session. How many training sessions would make the salary options equal? | 600 | Solving Systems of Equations by Substitution | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
The perimeter of a rectangle is 84. The length is 10 more than three times the width. Find the length. | 34 | Solving Systems of Equations by Substitution | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Jackie has been offered positions by two cable companies. The first company pays a salary of $ 14,000 plus a commission of $100 for each cable package sold. The second pays a salary of $20,000 plus a commission of $25 for each cable package sold. How many cable packages would need to be sold to make the total pay the same? | 80 | Solving Systems of Equations by Substitution | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Mitchell currently sells stoves for company A at a salary of $12,000 plus a $150 commission for each stove he sells. Company B offers him a position with a salary of $24,000 plus a $50 commission for each stove he sells. How many stoves would Mitchell need to sell for the options to be equal? | 120 | Solving Systems of Equations by Substitution | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Joe stops at a burger restaurant every day on his way to work. Monday he had one order of medium fries and two small sodas, which had a total of 620 calories. Tuesday he had two orders of medium fries and one small soda, for a total of 820 calories. How many calories are there in one order of medium fries? | 340 | Solve Systems of Equations by Elimination | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Andrea is buying some new shirts and sweaters. She is able to buy 3 shirts and 2 sweaters for $114 or she is able to buy 2 shirts and 4 sweaters for $164. How much does a shirt cost? | 16 | Solve Systems of Equations by Elimination | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
The total amount of sodium in 2 hot dogs and 3 cups of cottage cheese is 4720 mg. The total amount of sodium in 5 hot dogs and 2 cups of cottage cheese is 6300 mg. How much sodium is in a hot dog, in mg? | 860 | Solve Systems of Equations by Elimination | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Devon is 26 years older than his son Cooper. The sum of their ages is 50. Find Devon's age. | 38 | Solve Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
When Jenna spent 10 minutes on the elliptical trainer and then did circuit training for 20 minutes, her fitness app says she burned 278 calories. When she spent 20 minutes on the elliptical trainer and 30 minutes circuit training she burned 473 calories. How many calories does she burn for each minute on the elliptical trainer? | 11.2 | Solve Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Joni left St. Louis on the interstate, driving west towards Denver at a speed of 65 miles per hour. Half an hour later, Kelly left St. Louis on the same route as Joni, driving 78 miles per hour. How many hours will it take Kelly to catch up to Joni? | 2.5 | Solve Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
A river cruise ship sailed 60 miles downstream for 4 hours and then took 5 hours sailing upstream to return to the dock. Find the speed of the ship in still water, in miles per hour. | 13.5 | Solve Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
A private jet can fly 1095 miles in three hours with a tailwind but only 987 miles in three hours into a headwind. Find the speed of the jet in still air, in miles per hour. | 347 | Solve Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
A married couple together earn $75,000. The husband earns $15,000 more than five times what his wife earns. What does the wife earn? | 10,000 | Solve Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Daniela invested a total of $50,000, some in a certificate of deposit (CD) and the remainder in bonds. The amount invested in bonds was $5000 more than twice the amount she put into the CD. How much did she invest in the CD? | 15,000 | Solve Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
In her last two years in college, Marlene received $42,000 in loans. The first year she received a loan that was $6,000 less than three times the amount of the second year’s loan. What was the amount of her loan for the first year? | 30,000 | Solve Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Alyssa is twelve years older than her sister, Bethany. The sum of their ages is forty-four. Find Alyssa's age. | 28 | Solve Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
The age of Noelle’s dad is six less than three times Noelle’s age. The sum of their ages is seventy-four. Find Noelle’s dad's age. | 54 | Solve Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Two containers of gasoline hold a total of fifty gallons. The big container can hold ten gallons less than twice the small container. How many gallons does the big container hold? | 30 | Solve Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Shelly spent 10 minutes jogging and 20 minutes cycling and burned 300 calories. The next day, Shelly swapped times, doing 20 minutes of jogging and 10 minutes of cycling and burned the same number of calories. How many calories were burned for each minute of jogging? | 10 | Solve Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Troy and Lisa were shopping for school supplies. Each purchased different quantities of the same notebook and thumb drive. Troy bought four notebooks and five thumb drives for $116. Lisa bought two notebooks and three thumb dives for $68. Find the cost of each notebook. | 4 | Solve Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Sarah left Minneapolis heading east on the interstate at a speed of 60 mph. Her sister followed her on the same route, leaving two hours later and driving at a rate of 70 mph. How many hours will it take for Sarah’s sister to catch up to Sarah? | 12 | Solve Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
At the end of spring break, Lucy left the beach and drove back towards home, driving at a rate of 40 mph. Lucy’s friend left the beach for home 30 minutes (half an hour) later, and drove 50 mph. How many hours did it take Lucy’s friend to catch up to Lucy? | 2 | Solve Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
The Jones family took a 12 mile canoe ride down the Indian River in two hours. After lunch, the return trip back up the river took three hours. Find the rate of the canoe in still water, in miles per hour. | 5 | Solve Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |