At first, there were 375 more boys than girls at the stadium. By 1 p.m., a total of 260 boys and girls left the stadium. There were as many boys as girls who left the stadium. In the end, there were 6 times as many boys as girls who remained behind. How many boys were at the stadium at first?
|
Boys |
Girls |
Difference |
Before |
6 u + 130 |
1 u + 130 |
375 |
Change |
- 130 |
- 130 |
|
After |
6 u |
1 u |
5 u |
Since there was the same number of girls and boys that left, the difference between the number of girls and boys remains unchanged.
5 u = 375
1 u = 375 ÷ 5 = 75
Number of boys in the end
= 6 u
= 6 x 75
= 450
Number of boys that left
= 260 ÷ 2
= 130
Number of boys at first
= 450 + 130
= 580
Answer(s): 580