Algebra 1: Common Core (15th Edition)

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

Chapter 1 - Foundations for Algebra - 1-8 An Introduction to Equations - Apply What You've Learned - Page 58: a

Answer

$30n$ and $5n+10$

Work Step by Step

Based on the conditions of the problem, there are $2n$ names in the walk of fame. Each of these costs $\$15$. Therefore, the total cost for these is $$ 15(2n)=30n\text{ dollars} .$$ Based on the conditions of the problem, there are $n+2$ plain tiles in the walk of fame. Each of these costs $\$5$. Therefore, the total cost for these is $$ 5(n+2)=(5n+10)\text{ dollars} .$$ Hence, the equation that satisfies the conditions of the problem is $$ 30n+5n+10=500 $$ and the tiles needed to complete the given blanks are $30n$ and $5n+10$.
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