At first, there were 388 more women than men at the stadium. By 1 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 5 times as many women as men who remained behind. How many women were at the stadium at first?
|
Women |
Men |
Difference |
Before |
5 u + 139 |
1 u + 139 |
388 |
Change |
- 139 |
- 139 |
|
After |
5 u |
1 u |
4 u |
Since there was the same number of men and women that left, the difference between the number of men and women remains unchanged.
4 u = 388
1 u = 388 ÷ 4 = 97
Number of women in the end
= 5 u
= 5 x 97
= 485
Number of women that left
= 278 ÷ 2
= 139
Number of women at first
= 485 + 139
= 624
Answer(s): 624