162 Chapter 2 Linear Equations and Inequalities 9. Olivia needs to bring 100 cookies to her friend’s party. She has already baked x cookies. Write an algebraic expression for the number of cookies Olivia still needs to bake. 10. Rachel needs a mixture of 55 pounds (lb) of nuts consisting of peanuts and cashews. Let p represent the number of pounds of peanuts in the mixture. Write an algebraic expression for the number of pounds of cashews that she needs to add. 11. Max has a total of $3000 in two bank accounts. Let y represent the amount in one account. Write an algebraic expression for the amount in the other account. 12. Roberto has a total of $7500 in two savings accounts. Let z represent the amount in one account. Write an algebraic expression for the amount in the other account. 13. A church had an ice cream social and sold tickets for $3 and $2.When the social was over, 81 tickets had been sold totaling $215. How many of each type of ticket did the church sell? (See Example 1.) 14. Anna is a teacher at an elementary school. She purchased 72 tickets to take the first-grade children and some parents on a field trip to the zoo. She purchased children’s tickets for $10 each and adult tickets for $18 each. She spent a total of $856. How many of each ticket did she buy? $3 Tickets $2 Tickets Total Number of tickets Cost of tickets 15. Josh downloaded 25 tunes from an online site for his MP3 player. Some songs cost $0.90 each, while others were $1.50 each. He spent a total of $27.30. How many of each type of song did he download? 16. During the past year, Kris purchased 32 books at a wholesale club store. She purchased softcover books for $4.50 each and hardcover books for $13.50 each.The total cost of the books was $243. How many of each type of book did she purchase? 17. Christopher has three times the number of Nintendo® DS games as Nintendo® Wii games. Each Nintendo® DS game costs $30 while each Nintendo®Wii game costs $50. How many games of each type does Christopher have if he spent a total of $700 on all the games? 18. Steven wants to buy some candy with his birthday money. He can choose from Jelly Belly jelly beans that sell for $6.99 per pound and Brach’s variety that sells for $3.99. He likes to have twice the amount of jelly beans as Brach’s variety. If he spent a total of $53.91, how many pounds of each type of candy did he buy? Concept 2: Applications Involving Mixtures For Exercises 19–22, write an algebraic expression as indicated. Adults Children Total Number of tickets Cost of tickets 19. A container holds 7 ounces (oz) of liquid. Let x represent the number of ounces of liquid in another container. Write an expression for the total amount of liquid. 20. A bucket contains 2.5 L of a bleach solution. Let n represent the number of liters of bleach solution in a second bucket. Write an expression for the total amount of bleach solution.
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