At a gathering, the ratio of the number of men to the number of women was 3 : 2. 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 |
2 u |
Change |
- 1.62 u |
- 0.62 u |
After |
1.38 u |
1.38 u |
Number of women that left
= 31% x 2 u
=
31100 x 2 u
= 0.62 u
Number of women that remained
= 2 u - 0.62 u
= 1.38 u
Number of men that needed to leave = 3 u - 1.38 u= 1.62 u Percentage of men that must leave = 1.623 x 100% = 54% Answer(s): 54%