At a gathering, the ratio of the number of men to the number of women was 5 : 2. 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 |
2 u |
Change |
- 3.6 u |
- 0.6 u |
After |
1.4 u |
1.4 u |
Number of women that left
= 30% x 2 u
=
30100 x 2 u
= 0.6 u
Number of women that remained
= 2 u - 0.6 u
= 1.4 u
Number of men that needed to leave = 5 u - 1.4 u= 3.6 u Percentage of men that must leave = 3.65 x 100% = 72% Answer(s): 72%