Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 1 - Section 1.5 - Problem Solving and Using Formulas - Exercise Set - Page 65: 3



Work Step by Step

Step 1. Let x represent one of the unknown quantities. $x$ = the number Step 2. Represent other unknown quantities in terms of x. $0.20x$ = 20% of itself Step 3. Write an equation in x that models the conditions. $x-0.20x = 20$ Step 4. Solve the equation and answer the question. $x-0.20x = 20$ $0.8x=20$ Divide both sides by 0.8: $x=25$ Step 5. Check the proposed solution in the original wording of the problem. if $x=25$ $x-0.20x = 20$ $25-0.20(25) = 20$ $25-5=20$ $20=20$-->TRUE
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