At first, there were 402 more women than men at the stadium. By 2 p.m., a total of 278 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 + 139 |
1 u + 139 |
402 |
Change |
- 139 |
- 139 |
|
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 = 402
1 u = 402 ÷ 2 = 201
Number of women in the end
= 3 u
= 3 x 201
= 603
Number of women that left
= 278 ÷ 2
= 139
Number of women at first
= 603 + 139
= 742
Answer(s): 742