There were 8 more boys than girls in the canteen. Excluding 7 girls, the number of girls was
34 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 |
8 more |
|
Before |
4 u |
3 u + 7 |
Change |
+ 4 |
|
After |
4 u + 4 |
3 u + 7 |
Number of boys at first was 8 more than the number of girls. If another 8 girls entered the canteen at first, the number of boys and girls at first would be the same.
4 u = 3 u + 7 + 8
4 u - 3 u = 7 + 8
1 u = 15
Total number of boys in the end
= 4 u + 4
= 4 x 15 + 4
= 60 + 4
= 64
Total number of pupils in the end
= 4 u + 4 + 3 u + 7
= 7 u + 11
= 7 x 15 + 11
= 116
Fraction of the pupils who were boys in the end
=
64116 =
1629 Answer(s):
1629