Elementary Algebra

Published by Cengage Learning

Chapter 3 - Equations and Problem Solving - 3.3 - More on Solving Equations and Problem Solving - Problem Set 3.3 - Page 115: 63

Answer

150 men and 450 women attended the concert.

Work Step by Step

Let X represent the number of men. There are three times as many women as men. Since the number of men is X, the number of women is three times the number of men, or 3 $\times$ X = 3X A total of 600 people attended the concert, so we can set up the following equation: X + 3X = 600 4X = 600 Divide both sides by 4 X = 150 Since X = 150, 3X = 450

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