At first, there were 447 more girls than boys at the park. By 3 p.m., a total of 256 girls and boys left the park. There were as many girls as boys who left the park. In the end, there were 4 times as many girls as boys who remained behind. How many girls were at the park at first?
|
Girls |
Boys |
Difference |
Before |
4 u + 128 |
1 u + 128 |
447 |
Change |
- 128 |
- 128 |
|
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 = 447
1 u = 447 ÷ 3 = 149
Number of girls in the end
= 4 u
= 4 x 149
= 596
Number of girls that left
= 256 ÷ 2
= 128
Number of girls at first
= 596 + 128
= 724
Answer(s): 724