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A motor boat traveled 18 miles down a river in two hours but going back upstream, it took 4.5 hours due to the current. Find the rate of the motor boat in still water, in miles per hour. | 6.5 | Solve Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
A small jet can fly 1,072 miles in 4 hours with a tailwind but only 848 miles in 4 hours into a headwind. Find the speed of the jet in still air, in miles per hour. | 240 | Solve Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
A commercial jet can fly 868 miles in 2 hours with a tailwind but only 792 miles in 2 hours into a headwind. Find the speed of the jet in still air, in miles per hour. | 415 | Solve Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
The box office at a movie theater sold 147 tickets for the evening show, and receipts totaled $1,302. A child ticket costs $8, and an adult ticket costs $11. How many $11 adult tickets were sold? | 42 | Solve Mixture Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Carson wants to make 20 pounds of trail mix using nuts and chocolate chips. His budget requires that the trail mix costs him $7.60 per pound. Nuts cost $9.00 per pound and chocolate chips cost $2.00 per pound. How many pounds of nuts should he use? | 16 | Solve Mixture Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Tickets to a Broadway show cost $35 for adults and $15 for children. The total receipts for 1650 tickets at one performance were $47,150. How many adult tickets were sold? | 1,120 | Solve Mixture Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Tickets for a train cost $10 for children and $22 for adults. Josie paid $1,200 for a total of 72 tickets. How many children鈥檚 tickets did Josie buy? | 32 | Solve Mixture Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Tickets for a dance recital cost $15 for adults and $7 for children. The dance company sold 253 tickets and the total receipts were $2,771. How many adult tickets were sold? | 125 | Solve Mixture Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
A cashier has 30 bills, all of which are $10 or $20 bills. The total value of the money is $460. How many of the $10 bill does the cashier have? | 14 | Solve Mixture Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Hannah has to make twenty-five gallons of punch for a potluck. The punch is made of soda and fruit drink. The cost of the soda is $1.79 per gallon and the cost of the fruit drink is $2.49 per gallon. Hannah鈥檚 budget requires that the punch cost $2.21 per gallon. How many gallons of soda does she need? | 10 | Solve Mixture Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Julia and her husband own a coffee shop. They experimented with mixing a City Roast Columbian coffee that cost $7.80 per pound with French Roast Columbian coffee that cost $8.10 per pound to make a 20 pound blend. Their blend should cost them $7.92 per pound. How much of City Roast Columbian coffee should they buy? | 12 | Solve Mixture Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Jotham needs 70 liters of a 50% alcohol solution. He has a 30% and an 80% solution available. How many liters of the 30% solution should he mix to make the 50% solution? | 42 | Solve Mixture Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
A scientist needs 65 liters of a 15% alcohol solution. She has available a 25% and a 12% solution. How many liters of the 25% solution should she mix to make the 15% solution? | 15 | Solve Mixture Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
A 40% antifreeze solution is to be mixed with a 70% antifreeze solution to get 240 liters of a 50% solution. How many liters of the 40% solution will be used? | 160 | Solve Mixture Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Laurie was completing the treasurer鈥檚 report for her son鈥檚 Boy Scout troop at the end of the school year. She didn鈥檛 remember how many boys had paid the $15 full-year registration fee and how many had paid the $10 partial-year fee. She knew that the number of boys who paid for a full-year was ten more than the number who paid for a partial-year. If $250 was collected for all the registrations, how many boys had paid the full-year fee? | 14 | Solve Mixture Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
LaVelle is making a pitcher of caffe mocha. For each ounce of chocolate syrup, she uses five ounces of coffee. How many ounces of chocolate syrup does she need to make 48 ounces of caffe mocha? | 8 | Solve Systems of Equations by Graphing | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Last month Jim and Debbie earned $7,200. Debbie earned $1,600 more than Jim earned. How much did Debbie earn? | 4,400 | Solve Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Pam is 3 years older than her sister, Jan. The sum of their ages is 99. Find Pam's age. | 51 | Solve Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Sheila and Lenore were driving to their grandmother鈥檚 house. Lenore left one hour after Sheila. Sheila drove at a rate of 45 mph, and Lenore drove at a rate of 60 mph. How many hours will it take for Lenore to catch up to Sheila? | 3 | Solve Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Marcus can drive his boat 36 miles down the river in three hours but takes four hours to return upstream. Find the rate of the boat in still water, in miles per hour. | 10.5 | Solve Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Lynn paid a total of $2,780 for 261 tickets to the theater. Student tickets cost $10 and adult tickets cost $15. How many student tickets did Lynn buy? | 227 | Solve Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |
Yumi wants to make 12 cups of party mix using candies and nuts. Her budget requires the party mix to cost her $1.29 per cup. The candies are $2.49 per cup and the nuts are $0.69 per cup. How many cups of candies should she use? | 4 | Solve Applications with Systems of Equations | Access for free at openstax.org. https://openstax.org/details/books/elementary-algebra-2e |