Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 3 - Equations and Problem Solving - Chapter 3 Review Problem Set - Page 137: 39

Answer

We have 22 dimes. We have 8 nickels.

Work Step by Step

Let X represent the number of dimes. Since we have 30 coins, the number of nickels will be 30 - X. One nickel is worth 5 cents, so we have (30 - X) $\times$ 5 = 150 - 5X cents. One dime is equal to 10 cents, so we have X $\times$ 10 = 10X cents. In total, we have 2.60 dollars, which is equal to 260 cents. We solve the following equation: 150 - 5X + 10X = 260 5X = 110 X = 22 We have 22 dimes. We have 30 - 22 = 8 nickels.
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