At first, there were 426 more men than women at the concert hall. By 4 p.m., a total of 246 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 + 123 |
1 u + 123 |
426 |
| Change |
- 123 |
- 123 |
|
| 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 = 426
1 u = 426 ÷ 3 = 142
Number of men in the end
= 4 u
= 4 x 142
= 568
Number of men that left
= 246 ÷ 2
= 123
Number of men at first
= 568 + 123
= 691
Answer(s): 691
