At first, there were 380 more boys than girls at the stadium. By 4 p.m., a total of 240 boys and girls left the stadium. There were as many boys as girls who left the stadium. In the end, there were 5 times as many boys as girls who remained behind. How many boys were at the stadium at first?
|
Boys |
Girls |
Difference |
Before |
5 u + 120 |
1 u + 120 |
380 |
Change |
- 120 |
- 120 |
|
After |
5 u |
1 u |
4 u |
Since there was the same number of girls and boys that left, the difference between the number of girls and boys remains unchanged.
4 u = 380
1 u = 380 ÷ 4 = 95
Number of boys in the end
= 5 u
= 5 x 95
= 475
Number of boys that left
= 240 ÷ 2
= 120
Number of boys at first
= 475 + 120
= 595
Answer(s): 595