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 - Page 150: 70

Answer

A traveler would get 240 Euros for 300 US dollars.

Work Step by Step

Let X represent the amount of Euros a traveler could get for 300 dollars. The exchange rate is 4 Euros for 5 United States dollars, or $\frac{4}{5}$. Now, let’s set up a proportion with the ratio given and a ratio which compares the amount of Euros to the amount of dollars. So, $\frac{4}{5}$ = $\frac{X}{300}$ To solve this equation, we equate the cross products. 4 $\times$ 300 =5 $\times$ X 1200 = 5X Divide both sides by 5. X = 240 A traveler would get 240 Euros for 300 US dollars.
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