At first, there were 446 more men than women at the tourist attraction. By 3 p.m., a total of 280 men and women left the tourist attraction. There were as many men as women who left the tourist attraction. In the end, there were 3 times as many men as women who remained behind. How many men were at the tourist attraction at first?
|
Men |
Women |
Difference |
Before |
3 u + 140 |
1 u + 140 |
446 |
Change |
- 140 |
- 140 |
|
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 = 446
1 u = 446 ÷ 2 = 223
Number of men in the end
= 3 u
= 3 x 223
= 669
Number of men that left
= 280 ÷ 2
= 140
Number of men at first
= 669 + 140
= 809
Answer(s): 809