Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 2 - Section 2.5 - An Introduction to Problem Solving - Exercise Set - Page 165: 11


The number is $37$.

Work Step by Step

Let $x$ = the unknown number Then "five times a number" means $5x$ "seven subtracted from five times a number" means $5x-7$ Thus, the equation that represents the situation is: $5x-7=178$ Add $7$ on both sides of the equation to obtain: $5x=185$ Divide $5$ on both sides of the equation to obtain: $x=\dfrac{185}{5} \\x=37$
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