Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 6 - Algebra: Equations and Inequalities - 6.3 Applications of Linear Equations - Exercise Set 6.3: 7

Answer

The number is 320.

Work Step by Step

step 1 Let x represent the unknown number in the problem. step 2 "$ 70\%$ of a number" = $\displaystyle \frac{70}{100}\cdot x=0.7x$ " is $224$" is written as " = $224$" step 3 The equation is $0.7x=224$ step 4 $0.7x=224\qquad/\div 0.7$ $x=\displaystyle \frac{224}{0.7}=\frac{2240}{7}=320$ The number is $320$. step 5 Check the solution in the original wording of the problem. $7$0% of $340,$ ($\displaystyle \frac{70}{100}\cdot 320=224),$ is 224. OK.
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