At first, there were 434 more boys than girls at the safari park. By 2 p.m., a total of 224 boys and girls left the safari park. There were as many boys as girls who left the safari park. In the end, there were 3 times as many boys as girls who remained behind. How many boys were at the safari park at first?
|
Boys |
Girls |
Difference |
Before |
3 u + 112 |
1 u + 112 |
434 |
Change |
- 112 |
- 112 |
|
After |
3 u |
1 u |
2 u |
Since there was the same number of girls and boys that left, the difference between the number of girls and boys remains unchanged.
2 u = 434
1 u = 434 ÷ 2 = 217
Number of boys in the end
= 3 u
= 3 x 217
= 651
Number of boys that left
= 224 ÷ 2
= 112
Number of boys at first
= 651 + 112
= 763
Answer(s): 763