Elementary Algebra

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

Chapter 4 - Proportions, Percents, and Solving Inequalities - Chapters 1-4 Cumulative Review Problem Set: 49

Answer

There are 8 nickels. There are 17 dimes.

Work Step by Step

Let x represent the number of nickels. The number of dimes is 25 - x. One nickel is worth 5 cents. One dime is worth 10 cents. Since the value of all of the coins is 2.10 dollars, or 210 cents, we set up the following equation: 5 $\times$ x + 10 $\times$ (25 - x) = 210 5x + 250 - 10x = 210 -5x = -40 Divide both sides by 5. x = 8 There are 8 nickels. There are 25 - 8 = 17 dimes.
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