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 - Page 166: 27


Ruth hit 59. Maris hit 61.

Work Step by Step

Let $x$ be the number hit by Ruth. The lnumber hit by Maris is $x+2$. The sum of the home runs hit by both is represented by the equation: $x+x+2=120$ Solve for x. Combine like terms. $2x+2=120$ Use the addition property of equality to subtract 2 from each side of the equation. $2x+2-2=120-2$ Simplify. $2x=118$ Use the multiplication property of equality to divide both sides of the equation by 2. $2x\div2=118\div2$ Simplify. $x=59$ Find the number hit by Maris. $x+2=59+2=61$
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