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: 74

Answer

They must win at least 37 games.

Work Step by Step

Let x represent the number of games they have to win. They have won 45, lost 55, and have 62 more to play. So, they will play a total of 45 + 55 + 62 = 162 games. They need to win more than 50% of their games. 50% $\times$ 162 = 81. So, they need to win more than 81 games. In total, they will win 45 + x. Now, we solve the following inequality. x + 45 $\gt$ 81 x $\gt$ 36 They must win more than 36 games, which means they must win at least 37 games.
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