Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.3 - More on Percents and Problem Solving - Problem Set 4.3 - Page 162: 57

Answer

x = 350

Work Step by Step

0.08x + 0.09(800 - x) = 68.5 Multiply both sides by 100 to clear the equation of all decimals. 8x + 9(800 - x) = 6850 Use the distributive property. 8x + 7200 - 9x = 6850 In order to solve for x, we first need to get all of the terms with an x in them on the same side of the equation and move all of the other terms to the other side of the equation. 8x - 9x = 6850 - 7200 -x = -350 Divide both sides by -1. x = 350
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