At first, there were 405 more girls than boys at the safari park. By 4 p.m., a total of 264 girls and boys left the safari park. There were as many girls as boys who left the safari park. In the end, there were 6 times as many girls as boys who remained behind. How many girls were at the safari park at first?
|
Girls |
Boys |
Difference |
Before |
6 u + 132 |
1 u + 132 |
405 |
Change |
- 132 |
- 132 |
|
After |
6 u |
1 u |
5 u |
Since there was the same number of boys and girls that left, the difference between the number of boys and girls remains unchanged.
5 u = 405
1 u = 405 ÷ 5 = 81
Number of girls in the end
= 6 u
= 6 x 81
= 486
Number of girls that left
= 264 ÷ 2
= 132
Number of girls at first
= 486 + 132
= 618
Answer(s): 618