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: 60

Answer

There are 2280 dollars of taxes on a home valued at 180,000 dollars.

Work Step by Step

Let X represent the amount of taxes on the 180,000 dollar home. Now, let’s set up a proportion in which one ratio compares the home values, and the other ratio compares the corresponding taxes. So, $\frac{150000}{180000}$ = $\frac{1900}{X}$ To solve this equation, we equate the cross products. 150000 $\times$ X = 180000 $\times$ 1900 We divide both sides by 10000 to simplify: 15 $\times$ X = 18 $\times$ 1900 15X = 34200 Divide both sides by 15. X = 2280 There are 2280 dollars of taxes on a home valued at 180,000 dollars.
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