At a celebration, the ratio of the number of men to the number of women was 5 : 3. If 30% 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 |
5 u |
3 u |
Change |
- 2.9 u |
- 0.9 u |
After |
2.1 u |
2.1 u |
Number of women that left
= 30% x 3 u
=
30100 x 3 u
= 0.9 u
Number of women that remained
= 3 u - 0.9 u
= 2.1 u
Number of men that needed to leave = 5 u - 2.1 u= 2.9 u Percentage of men that must leave = 2.95 x 100% = 58% Answer(s): 58%