There were 6 more boys than girls in the music room. Excluding 6 girls, the number of girls was
45 of the number of boys. When another 4 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 |
6 more |
|
Before |
5 u |
4 u + 6 |
Change |
+ 4 |
|
After |
5 u + 4 |
4 u + 6 |
Number of boys at first was 6 more than the number of girls. If another 6 girls entered the music room at first, the number of boys and girls at first would be the same.
5 u = 4 u + 6 + 6
5 u - 4 u = 6 + 6
1 u = 12
Total number of boys in the end
= 5 u + 4
= 5 x 12 + 4
= 60 + 4
= 64
Total number of pupils in the end
= 5 u + 4 + 4 u + 6
= 9 u + 10
= 9 x 12 + 10
= 118
Fraction of the pupils who were boys in the end
=
64118 =
3259 Answer(s):
3259