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: 78

Answer

x = 400

Work Step by Step

1. Given: 0.04(90) + 0.12x = 0.06(460 + x) 2. Simplify and Distribute: 3.6 + 0.12x = 27.6 + 0.06x 3. Multiply both sides by 10 to the 2nd power to turn decimals into whole numbers: 100(3.6 + 0.12x) = (27.6 + 0.06x)100 360 + 12x = 2,760 + 6x 4. Add and subtract: 6x = 2,400 5. Divide: x = 400 6. Check: 0.04(90) + 0.12(400) = 0.06(460 + 400) 51.6 = 51.6, so 400 is a correct solution of the equation.
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