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: 75

Answer

x = 2000

Work Step by Step

1. Given: 0.05x + 0.12(x + 5000) = 940 2. Distribute: 0.05x + 0.12x + 600 = 940 3. Multiply both sides by 10 to the 2nd power to turn decimals into whole numbers: 100(0.05x + 0.12x + 600) = (940)100 5x + 12x + 60,000 = 94,000 4. Add and subtract: 17x = 34,000 5. Divide: x = 2,000 6. Check: 0.05*2000 + 0.12(2000 + 5000) = 940 The equation is true, so 2,000 is a correct solution of the equation.
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