At first, there were 378 more women than men at the concert hall. By 3 p.m., a total of 228 women and men left the concert hall. There were as many women as men who left the concert hall. In the end, there were 4 times as many women as men who remained behind. How many women were at the concert hall at first?
| |
Women |
Men |
Difference |
| Before |
4 u + 114 |
1 u + 114 |
378 |
| Change |
- 114 |
- 114 |
|
| 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 = 378
1 u = 378 ÷ 3 = 126
Number of women in the end
= 4 u
= 4 x 126
= 504
Number of women that left
= 228 ÷ 2
= 114
Number of women at first
= 504 + 114
= 618
Answer(s): 618
