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: 55

Answer

The car will travel 330 miles on 15 gallons.

Work Step by Step

Let X represent the distance the car will travel on 15 gallons. Now, let’s set up a proportion in which one ratio compares the amounts of gasoline and the other ratio compares the corresponding distance the car can travel. So, $\frac{12}{15}$ = $\frac{264}{X}$ We cross multiply to obtain: 15 $\times$ 264 = 12 $\times$ X 3960 = 12X Divide both sides by 12 X = 330 The car will travel 330 miles on 15 gallons.
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