Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.5 - Inequalities, Compound Inequalities, and Problem Solving - Problem Set 4.5: 71

Answer

She must bowl at least 158 to have an average of at least 150 for the three games.

Work Step by Step

Let x represent her score in the third game. Her average will be $\frac{132\ +\ 160\ +\ x}{3}$. This average should be at least 150. So, we solve the following inequality. $\frac{132\ +\ 160\ +\ x}{3}$ $\geq$ 150. Multiply both sides by 3. 132 + 160 + x $\geq$ 450 x $\geq$ 450 - 160 - 132 x $\geq$ 158 So, she must bowl at least 158 to have an average of at least 150 for the three games.
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