At first, there were 444 more boys than girls at the stadium. By 4 p.m., a total of 234 boys and girls left the stadium. There were as many boys as girls who left the stadium. In the end, there were 3 times as many boys as girls who remained behind. How many boys were at the stadium at first?
|
Boys |
Girls |
Difference |
Before |
3 u + 117 |
1 u + 117 |
444 |
Change |
- 117 |
- 117 |
|
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 = 444
1 u = 444 ÷ 2 = 222
Number of boys in the end
= 3 u
= 3 x 222
= 666
Number of boys that left
= 234 ÷ 2
= 117
Number of boys at first
= 666 + 117
= 783
Answer(s): 783