At first, there were 423 more women than men at the museum. By 2 p.m., a total of 276 women and men left the museum. There were as many women as men who left the museum. In the end, there were 4 times as many women as men who remained behind. How many women were at the museum at first?
| |
Women |
Men |
Difference |
| Before |
4 u + 138 |
1 u + 138 |
423 |
| Change |
- 138 |
- 138 |
|
| After |
4 u |
1 u |
3 u |
Since there was the same number of men and women that left, the difference between the number of men and women remains unchanged.
3 u = 423
1 u = 423 ÷ 3 = 141
Number of women in the end
= 4 u
= 4 x 141
= 564
Number of women that left
= 276 ÷ 2
= 138
Number of women at first
= 564 + 138
= 702
Answer(s): 702
