There were 8 more boys than girls in the music room. Excluding 5 girls, the number of girls was
34 of the number of boys. When another 3 boys joined, what fraction of the pupils were boys in the end? Give your answer in its simplest form.
|
Boys |
Girls |
Comparing boys and girls at first |
8 more |
|
Before |
4 u |
3 u + 5 |
Change |
+ 3 |
|
After |
4 u + 3 |
3 u + 5 |
Number of boys at first was 8 more than the number of girls. If another 8 girls entered the music room at first, the number of boys and girls at first would be the same.
4 u = 3 u + 5 + 8
4 u - 3 u = 5 + 8
1 u = 13
Total number of boys in the end
= 4 u + 3
= 4 x 13 + 3
= 52 + 3
= 55
Total number of pupils in the end
= 4 u + 3 + 3 u + 5
= 7 u + 8
= 7 x 13 + 8
= 99
Fraction of the pupils who were boys in the end
=
5599 =
59 Answer(s):
59