Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.1 - Ratios and Proportions - Problem Set 4.1 - Page 149: 48

Answer

$n=75$

Work Step by Step

Using cross-multiplication, the value of the variable that satisfies the given equation, $ \dfrac{n}{200-n}=\dfrac{3}{5} ,$ is \begin{array}{l}\require{cancel} 5(n)=3(200-n) \\\\ 5n=600-3n \\\\ 5n+3n=600 \\\\ 8n=600 \\\\ n=\dfrac{600}{8} \\\\ n=75 .\end{array}
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