At first, there were 436 more women than men at the stadium. By 3 p.m., a total of 258 women and men left the stadium. There were as many women as men who left the stadium. In the end, there were 3 times as many women as men who remained behind. How many women were at the stadium at first?
|
Women |
Men |
Difference |
Before |
3 u + 129 |
1 u + 129 |
436 |
Change |
- 129 |
- 129 |
|
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 = 436
1 u = 436 ÷ 2 = 218
Number of women in the end
= 3 u
= 3 x 218
= 654
Number of women that left
= 258 ÷ 2
= 129
Number of women at first
= 654 + 129
= 783
Answer(s): 783