At a conference, the ratio of the number of men to the number of women was 20 : 3. If 40% 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 |
20 u |
3 u |
| Change |
- 18.2 u |
- 1.2 u |
| After |
1.8 u |
1.8 u |
Number of women that left
= 40% x 3 u
=
40100 x 3 u
= 1.2 u
Number of women that remained
= 3 u - 1.2 u
= 1.8 u
Number of men that needed to leave = 20 u - 1.8 u= 18.2 u Percentage of men that must leave = 18.220 x 100% = 91% Answer(s): 91%
