Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 1 - Equations and Inequalities - 1.2 Applications and Modeling with Linear Equations - 1.2 Exercises - Page 100: 4

Answer

$\$70$

Work Step by Step

Let x = number of half-dollars y = number of quarters Note that: half-dollar = $\$0.50$ a quarter = $\$0.25$ Thus, the monetary value of the coins will be represented by: monetary value = $0.50x + 0.25y$ Since $x=40$ and $y=200$, then the monetary value of the coins is: $=\$0.50(40) + \$0.25(200) \\=\$20 + \$50 \\=\$70$
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