There were 6 more boys than girls in the music room. Excluding 8 girls, the number of girls was
45 of the number of boys. When another 8 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 + 8 |
| Change |
+ 8 |
|
| After |
5 u + 8 |
4 u + 8 |
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 + 8 + 6
5 u - 4 u = 8 + 6
1 u = 14
Total number of boys in the end
= 5 u + 8
= 5 x 14 + 8
= 70 + 8
= 78
Total number of pupils in the end
= 5 u + 8 + 4 u + 8
= 9 u + 16
= 9 x 14 + 16
= 142
Fraction of the pupils who were boys in the end
=
78142 =
3971 Answer(s):
3971 
