At first, there were 416 more men than women at the museum. By 3 p.m., a total of 264 men and women left the museum. There were as many men as women who left the museum. In the end, there were 3 times as many men as women who remained behind. How many men were at the museum at first?
|
Men |
Women |
Difference |
Before |
3 u + 132 |
1 u + 132 |
416 |
Change |
- 132 |
- 132 |
|
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
= 264 ÷ 2
= 132
Number of men at first
= 624 + 132
= 756
Answer(s): 756