There were 4 more boys than girls in the school hall. Excluding 12 girls, the number of girls was
23 of the number of boys. When another 4 boys joined, what fraction of the students were boys in the end? Give your answer in its simplest form.
|
Boys |
Girls |
Comparing boys and girls at first |
4 more |
|
Before |
3 u |
2 u + 12 |
Change |
+ 4 |
|
After |
3 u + 4 |
2 u + 12 |
Number of boys at first was 4 more than the number of girls. If another 4 girls entered the school hall at first, the number of boys and girls at first would be the same.
3 u = 2 u + 12 + 4
3 u - 2 u = 12 + 4
1 u = 16
Total number of boys in the end
= 3 u + 4
= 3 x 16 + 4
= 48 + 4
= 52
Total number of students in the end
= 3 u + 4 + 2 u + 12
= 5 u + 16
= 5 x 16 + 16
= 96
Fraction of the students who were boys in the end
=
5296 =
1324 Answer(s):
1324