Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.7 - Modeling with Equations - 1.7 Exercises - Page 76: 35

Answer

9 pennies 9 nickels 9 dimes

Work Step by Step

A penny is one cent ($\$0.01$), a nickel is 5 cents ($\$0.05$), and a dime is 10 cents ($\$0.10$). Let $x$=number of pennies $x$=number of nickels $x$=number of dimes The total value of the coins is $\$1.44$. Thus, $0.01(x) + 0.05x + 0.10x = 1.44 \\0.16x = 1.44 \\x = \frac{1.44}{0.16} \\x=9$ Therefore there are 9 pieces of each type of coin.
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