At first, there were 400 more women than men at the park. By 3 p.m., a total of 272 women and men left the park. There were as many women as men who left the park. In the end, there were 3 times as many women as men who remained behind. How many women were at the park at first?
| |
Women |
Men |
Difference |
| Before |
3 u + 136 |
1 u + 136 |
400 |
| Change |
- 136 |
- 136 |
|
| After |
3 u |
1 u |
2 u |
Since there was the same number of men and women that left, the difference between the number of men and women remains unchanged.
2 u = 400
1 u = 400 ÷ 2 = 200
Number of women in the end
= 3 u
= 3 x 200
= 600
Number of women that left
= 272 ÷ 2
= 136
Number of women at first
= 600 + 136
= 736
Answer(s): 736
