At first, there were 444 more men than women at the museum. By 2 p.m., a total of 230 men and women left the museum. There were as many men as women who left the museum. In the end, there were 5 times as many men as women who remained behind. How many men were at the museum at first?
| |
Men |
Women |
Difference |
| Before |
5 u + 115 |
1 u + 115 |
444 |
| Change |
- 115 |
- 115 |
|
| After |
5 u |
1 u |
4 u |
Since there was the same number of women and men that left, the difference between the number of women and men remains unchanged.
4 u = 444
1 u = 444 ÷ 4 = 111
Number of men in the end
= 5 u
= 5 x 111
= 555
Number of men that left
= 230 ÷ 2
= 115
Number of men at first
= 555 + 115
= 670
Answer(s): 670
