At first, there were 400 more men than women at the museum. By 1 p.m., a total of 228 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 + 114 |
1 u + 114 |
400 |
Change |
- 114 |
- 114 |
|
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 = 400
1 u = 400 ÷ 4 = 100
Number of men in the end
= 5 u
= 5 x 100
= 500
Number of men that left
= 228 ÷ 2
= 114
Number of men at first
= 500 + 114
= 614
Answer(s): 614