Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 2 - Section 2.5 - An Introduction to Problem Solving - Exercise Set: 22

Answer

4 years spent eating. 28 years spent sleeping.

Work Step by Step

Let $x$ be the number of years spent eating. The number of years spent sleeping is then $x+24$. The total number of years sleeping and eating is 32, so $x+x+24=32$ Combine like terms. $2x+24=32$ Use the addition property of equality to subtract 24 from both sides of the equation. $2x+24-24=32-24$ Combine like terms. $2x=8$ Use the multiplication property of equality to divide both sides of the equation by 2. $2x\div2=8\div2$ Simplify. $x=4$ 4 years are spent eating. $x+24=4+24=28$ years are spent sleeping.
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