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: 23

Answer

bachelor's 81,000 master's 92,000

Work Step by Step

Let $x$ be the salary with a bachelor's degree. The salary with a master's degree is $2x-70000$. The total salary of the two is represented by the equation: $x+2x-70000=173000$ Solve for x to find the median salary with a bachelor's degree. Combine like terms. $3x-70000=173000$ Use the addition property of equality to add 70000 to each side of the equation. $3x-70000+70000=173000+70000$ Simplify. $3x=243000$ Use the multiplication property of equality to divide both sides of the equation by 3. $3x\div3=243000\div3$ Simplify. $x=81000$ Find the median salary with a master's degree: $2x-70000=2(81000)-70000=162000-70000=92000$
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