Introductory Algebra for College Students (7th Edition)

Published by Pearson

Chapter 2 - Section 2.5 - An Introduction to Problem Solving - Exercise Set - Page 165: 12

Answer

The number is $51$.

Work Step by Step

Let $x$ = the unknown number Then "six times a number" means $6x$ "eight subtracted from six times a number" means $6x-8$ Thus, the equation that represents the situation is: $6x-8=298$ Add $8$ on both sides of the equation to obtain: $6x=306$ Divide $6$ on both sides of the equation to obtain: $x=\dfrac{306}{6} \\x=51$

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