At first, there were 399 more men than women at the concert hall. By 3 p.m., a total of 252 men and women left the concert hall. There were as many men as women who left the concert hall. In the end, there were 4 times as many men as women who remained behind. How many men were at the concert hall at first?
|
Men |
Women |
Difference |
Before |
4 u + 126 |
1 u + 126 |
399 |
Change |
- 126 |
- 126 |
|
After |
4 u |
1 u |
3 u |
Since there was the same number of women and men that left, the difference between the number of women and men remains unchanged.
3 u = 399
1 u = 399 ÷ 3 = 133
Number of men in the end
= 4 u
= 4 x 133
= 532
Number of men that left
= 252 ÷ 2
= 126
Number of men at first
= 532 + 126
= 658
Answer(s): 658