## Elementary Algebra

Published by Cengage Learning

# Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.1 - Ratios and Proportions - Problem Set 4.1 - Page 149: 41

#### Answer

$n=7$

#### Work Step by Step

Using cross-multiplication, the value of the variable that satisfies the given equation, $\dfrac{n+1}{n}=\dfrac{8}{7} ,$ is \begin{array}{l}\require{cancel} 7(n+1)=8(n) \\\\ 7n+7=8n \\\\ 7n-8n=-7 \\\\ -n=-7 \\\\ n=7 .\end{array}

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