There were 6 more boys than girls in the tuck shop. Excluding 10 girls, the number of girls was
23 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 |
3 u |
2 u + 10 |
Change |
+ 4 |
|
After |
3 u + 4 |
2 u + 10 |
Number of boys at first was 6 more than the number of girls. If another 6 girls entered the tuck shop at first, the number of boys and girls at first would be the same.
3 u = 2 u + 10 + 6
3 u - 2 u = 10 + 6
1 u = 16
Total number of boys in the end
= 3 u + 4
= 3 x 16 + 4
= 48 + 4
= 52
Total number of pupils in the end
= 3 u + 4 + 2 u + 10
= 5 u + 14
= 5 x 16 + 14
= 94
Fraction of the pupils who were boys in the end
=
5294 =
2647 Answer(s):
2647