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: 56

Answer

The car will need 14 gallons of gasoline to travel 238 miles.

Work Step by Step

Let X represent the amount of gasoline required to travel 238 miles. Now, let’s set up a proportion in which one ratio compares the amounts of gasoline and the other ratio compares the corresponding distance. So, $\frac{10}{X}$ = $\frac{170}{238}$ We cross multiply to obtain: 10 $\times$ 238 = X $\times$ 170 2380 = 170X Divide both sides by 170. X = 14 The car will need 14 gallons of gasoline to travel 238 miles.
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