At first, there were 416 more men than women at the stadium. By 2 p.m., a total of 244 men and women left the stadium. There were as many men as women who left the stadium. In the end, there were 3 times as many men as women who remained behind. How many men were at the stadium at first?
| |
Men |
Women |
Difference |
| Before |
3 u + 122 |
1 u + 122 |
416 |
| Change |
- 122 |
- 122 |
|
| After |
3 u |
1 u |
2 u |
Since there was the same number of women and men that left, the difference between the number of women and men remains unchanged.
2 u = 416
1 u = 416 ÷ 2 = 208
Number of men in the end
= 3 u
= 3 x 208
= 624
Number of men that left
= 244 ÷ 2
= 122
Number of men at first
= 624 + 122
= 746
Answer(s): 746
