Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 2 - Equations, Inequalities, and Problem Solving - 2.4 Applications with Percent - 2.4 Exercise Set - Page 109: 47


$\displaystyle \frac{140}{3}\qquad $(or $46\displaystyle \frac{2}{3})$

Work Step by Step

Typical percentage problem: What percent ($n$, as a decimal number) of (the base amount $y)$ is $x?$ Translated:$\quad n\cdot y=x$ --- Here, reworded, $ 30\%$ of ($y=?$) is ($x=14$)$?$ Translated:$\quad 0.3\cdot y=14$ ($ 30\%$ converted to decimal notation is $0.30=0.3)$ ... divide the last equation with $0.3$ $y=\displaystyle \frac{14}{0.3}=\frac{140}{3}$ (or $46\displaystyle \frac{2}{3})$
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