At first, there were 432 more girls than boys at the theme park. By 3 p.m., a total of 278 girls and boys left the theme park. There were as many girls as boys who left the theme park. In the end, there were 4 times as many girls as boys who remained behind. How many girls were at the theme park at first?
|
Girls |
Boys |
Difference |
Before |
4 u + 139 |
1 u + 139 |
432 |
Change |
- 139 |
- 139 |
|
After |
4 u |
1 u |
3 u |
Since there was the same number of boys and girls that left, the difference between the number of boys and girls remains unchanged.
3 u = 432
1 u = 432 ÷ 3 = 144
Number of girls in the end
= 4 u
= 4 x 144
= 576
Number of girls that left
= 278 ÷ 2
= 139
Number of girls at first
= 576 + 139
= 715
Answer(s): 715