Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 2 - Section 2.2 - An Introduction to Problem Solving - Exercise Set: 46

Answer

73,333

Work Step by Step

Dana is cutting 11,000 jobs (15 percent of her company). We need to find the original size of her work force. We can use the equation, $.015x=11,000$. 15 percent is equivalent to $\frac{15}{100} = 0.15$ $x$ is the original size of her work force. When you multiply the original number by the percent you receive the percent of the original number. In the equation, $0.15x=11,000$, we need to solve for $x$. To isolate $x$ on the left side of the equation, divide both sides by 0.15. $\frac{0.15x}{0.15}=\frac{11,000}{0.15}$ Because we are dividing the coefficient of x on the left side by itself, it cancels out. $x=\frac{11,000}{0.15}$ To finish solving for $x$, divide 11,000 by 0.15. $x=\frac{11,000}{0.15}=73,333.33333$ We are asked to round the answer to the nearest whole number, which is 73,333. Check your answer by substituting your answer in for $x$ in the original equation. $0.15\times73,333.33333=11,000$
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