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: 24

Answer

bachelor's 81,000 doctorate 117,000

Work Step by Step

Let $x$ be the salary with a bachelor's degree. The salary with a doctorate degree is $2x-45000$. The total salary of the two is represented by the equation: $x+2x-45000=198000$ Solve for x to find the median salary with a bachelor's degree. Combine like terms. $3x-45000=198000$ Use the addition property of equality to add 45000 to each side of the equation. $3x-45000+45000=198000+45000$ 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 doctorate degree: $2x-45000=2(81000)-45000=162000-45000=117000$
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