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24) Phuong buys New Jersey lottery tickets every Friday. One day she spent $17.00 on four Gold Rush tickets and three Crossword tickets. The next Friday, she bought three Gold Rush tickets and six Crossword tickets for $24.00. How much did she pay for each type of lottery ticket? Gold Rush: $2.00; Crossword: $3.00 25) Lakeisha is selling wrapping paper products for a school fund-raiser. Her mom buys four rolls of wrapping paper and three packages of gift bags for $52.00. Her grandmother spends $29.00 on three rolls of wrapping paper and one package of gift bags. Find the cost of a roll of wrapping paper and a package of gift bags. wrapping paper: $7.00; gift bags: $8.00 26) Alberto is selling popcorn to raise money for his Cub Scout den. His dad spends $86.00 on two tins of popcorn and three tins of caramel corn. His neighbor buys two tins of popcorn and one tin of caramel corn for $48.00. How much does each type of treat cost? popcorn: $14.50; caramel corn: $19.00 Objective 4: Solve Mixture Problems 27) How many ounces of a 9% alcohol solution and how many ounces of a 17% alcohol solution must be mixed to obtain 12 oz of a 15% alcohol solution? 9%: 3 oz; 17%: 9 oz 28) How many milliliters of a 15% acid solution and how many milliliters of a 3% acid solution must be mixed to get 45 mL of a 7% alcohol solution? 15%: 15 mL; 3%: 30 mL 29) How many liters of pure acid and how many liters of a 25% acid solution should be mixed to get 10 L of a 40% acid solution? pure acid: 2 L; 25%: 8 L 30) How many ounces of pure cranberry juice and how many ounces of a citrus fruit drink containing 10% fruit juice should be mixed to get 120 oz of a fruit drink that is 25% fruit juice? cranberry juice: 20 oz; fruit drink: 100 oz 31) How many ounces of Asian Treasure tea that sells for $7.50/oz should be mixed with Pearadise tea that sells for $5.00/oz so that a 60-oz mixture is obtained that will sell for $6.00/oz? Asian Treasure: 24 oz; Pearadise: 36 oz 32) How many pounds of peanuts that sell for $1.80 per pound should be mixed with cashews that sell for $4.50 per pound so that a 10-pound mixture is obtained that will sell for $2.61 per pound? peanuts: 7 lb; cashews: 3 lb 33) During a late-night visit to Taco Bell, Giovanni orders three Crunchy Tacos and a chicken chalupa supreme. His order contains 1390 mg of sodium. Jurgis orders two Crunchy Tacos and two chicken 17) Find the measures of angles x and y if the measure of angle x is three-fi fths the measure of angle y and if the angles are related according to the fi gure. mx 67.5°; my 112.5° 18) Find the measures of angles x and y if the measure of angle y is two-thirds the measure of angle x and if the angles are related according to the fi gure. mx 63°; my 42° x y 7 x Objective 3: Solve Problems Involving Cost 19) Kenny and Kyle are huge Colorado Avalanche y fans. Kenny buys a T-shirt and two souvenir hockey pucks for $36.00, and Kyle spends $64.00 on two T-shirts and three pucks. Find the price of a T-shirt and the price of a puck. T-shirt: $20.00; hockey puck: $8.00 20) Bruce Springsteen and Jimmy Buffett each played in Chicago in 2009. Four Springsteen tickets and four Buffett tickets cost $908.00, while three Springsteen tickets and two Buffett tickets cost $552.00. Find the cost of a ticket to each concert. (www.ticketmaster.com) Springsteen: $98.00; Buffett: $129.00 21) Angela and Andy watch The Offi ce every week with their friends and decide to buy them some gifts. Angela buys three Dwight bobbleheads and four star mugs for $105.00, while Andy spends $74.00 on two bobbleheads and three mugs. Find the cost of each item. (www.nbcuniversalstore.com) bobblehead: $19.00; mug: $12.00 22) Manny and Hiroki buy tickets in advance to some Los Angeles Dodgers games. Manny buys three left-fi eld pavilion seats and six club seats for $291. Hiroki spends $292 on eight left-fi eld pavilion seats and fi ve club seats. Find the cost of each type of ticket. (www.dodgers.com) left-fi eld pavilion: $9; club: $44 23) Carol orders fi ve White Castle hamburgers and a medium order of french fries for $4.64, and Momar orders four hamburgers and two medium fries for $5.38. Find the cost of a hamburger and the cost of a medium order of french fries at White Castle. (White Castle menu) hamburger: $0.65; medium fries: $1.39 www.mhhe.com/messersmith SECTION 4.4 Applications of Systems of Two Equations 283


messersmith_power_introductory_algebra_1e_ch4_7_10
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