Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 6 - Systems of Equations and Inequalities - Common Core Cumulative Standards Review - Selected Response - Page 414: 14

Answer

21 dimes

Work Step by Step

Make an equation to model this situation. Let's say dimes are $d$ and nickels are $n$. She has 25 coins, which are a combination of dimes and nickels. $d + n = 25$ Dimes are worth 10 cents, and nickels are worth 5 cents. Rhonda has a total of 2 dollars and 30 cents. $0.1d + 0.05n = 2.30$ Find the solution using any method. Here, we will use elimination $d + n = 25$ $-d -0.5n = -23$ _______________________ $0.5n = 2$ $n = 4$ There are 4 nickels, and because there are 25 coins, there must be 21 dimes.
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