At first, there were 381 more women than men at the bird park. By 1 p.m., a total of 234 women and men left the bird park. There were as many women as men who left the bird park. In the end, there were 4 times as many women as men who remained behind. How many women were at the bird park at first?
| |
Women |
Men |
Difference |
| Before |
4 u + 117 |
1 u + 117 |
381 |
| Change |
- 117 |
- 117 |
|
| After |
4 u |
1 u |
3 u |
Since there was the same number of men and women that left, the difference between the number of men and women remains unchanged.
3 u = 381
1 u = 381 ÷ 3 = 127
Number of women in the end
= 4 u
= 4 x 127
= 508
Number of women that left
= 234 ÷ 2
= 117
Number of women at first
= 508 + 117
= 625
Answer(s): 625
