At first, there were 448 more men than women at the zoo. By 2 p.m., a total of 254 men and women left the zoo. There were as many men as women who left the zoo. In the end, there were 3 times as many men as women who remained behind. How many men were at the zoo at first?
| |
Men |
Women |
Difference |
| Before |
3 u + 127 |
1 u + 127 |
448 |
| Change |
- 127 |
- 127 |
|
| 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 = 448
1 u = 448 ÷ 2 = 224
Number of men in the end
= 3 u
= 3 x 224
= 672
Number of men that left
= 254 ÷ 2
= 127
Number of men at first
= 672 + 127
= 799
Answer(s): 799
