At first, there were 393 more men than women at the concert hall. By 1 p.m., a total of 224 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 + 112 |
1 u + 112 |
393 |
Change |
- 112 |
- 112 |
|
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 = 393
1 u = 393 ÷ 3 = 131
Number of men in the end
= 4 u
= 4 x 131
= 524
Number of men that left
= 224 ÷ 2
= 112
Number of men at first
= 524 + 112
= 636
Answer(s): 636