Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 1 - Section 1.1 - Linear Equations in One Variable - 1.1 Exercises - Page 53: 79

Answer

x = 40

Work Step by Step

1. Given: 0.05x + 0.10(200 - x) = 0.45x 2. Distribute: 0.05x + 20 - 0.1x = 0.45x 3. Multiply both sides by 10 to the 2nd power to turn decimals into whole numbers: 100(0.05x + 20 - 0.1x) = (0.45x)100 5x + 2000 - 10x = 45x 4. Add and subtract: -50x = -2000 5. Divide: x = 40 6. Check: 0.05*40+ 0.10(200 - 40) = 0.45*40 18 = 18, so 40 is a correct solution of the equation.
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