At a celebration, the ratio of the number of men to the number of women was 3 : 1. If 31% of the women left, what percentage of the men must leave so that there will be an equal number of men and women remaining?
|
Men |
Women |
Before |
3 u |
1 u |
Change |
- 2.31 u |
- 0.31 u |
After |
0.69 u |
0.69 u |
Number of women that left
= 31% x 1 u
=
31100 x 1 u
= 0.31 u
Number of women that remained
= 1 u - 0.31 u
= 0.69 u
Number of men that needed to leave = 3 u - 0.69 u= 2.31 u Percentage of men that must leave = 2.313 x 100% = 77% Answer(s): 77%