Section 2.5 Division of Fractions and Applications 137 Using Multiplication in an Application Carson estimates that his total cost for college for 1 year is $12,600. He has financial aid to pay of the cost. a. How much money is the financial aid worth? b. How much money will Carson have to pay? c. If Carson’s parents help him by paying of the amount not paid by financial aid, how much money will be paid by Carson’s parents? Solution: a. Carson’s financial aid will pay of $12,600. Because we are looking for a fraction of a quantity, we multiply. Financial aid will pay $8400. 8400 4200 b. Carson will have to pay the remaining portion of the cost. This can be found by subtraction. $12,600 $8400 $4200 Carson will have to pay $4200. 2 31 12,600 1 2 3 12,600 2 3 12,600 1 23 1 3 2 3 Example 7 Answers 16. a. $12,000,000 b. $8,000,000 c. $6,400,000 TIP: The answer to Example 7(b) could also have been found by noting that financial aid paid of the cost. This means that Carson must pay of the cost, or $4200 1 3 $12,600 1 1 31 4200 $12,600 1 13 2 3 Skill Practice 16. A new school will cost $20,000,000 to build, and the state will pay of the cost. a. How much will the state pay? 35 b. How much will the state not pay? c. The county school district 45 issues bonds to pay of the money not covered by the state. How much money will be covered by bonds? c. Carson’s parents will pay of $4200. Carson’s parents will pay $1400. 1 31 1400 4200 1 13
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