There were 8 more girls than boys in the classroom. Excluding 3 boys, the number of boys was
34 of the number of girls. When another 8 girls joined, what fraction of the pupils were girls in the end? Give your answer in its simplest form.
| |
Girls |
Boys |
Comparing girls
and boys at first |
8 more |
|
| Before |
4 u |
3 u + 3 |
| Change |
+ 8 |
|
| After |
4 u + 8 |
3 u + 3 |
Number of girls at first was 8 more than the number of boys. If another 8 boys entered the classroom at first, the number of girls and boys at first would be the same.
4 u = 3 u + 3 + 8
4 u - 3 u = 3 + 8
1 u = 11
Total number of girls in the end
= 4 u + 8
= 4 x 11 + 8
= 44 + 8
= 52
Total number of pupils in the end
= 4 u + 8 + 3 u + 3
= 7 u + 11
= 7 x 11 + 11
= 88
Fraction of the pupils who were girls in the end
=
5288 =
1322 Answer(s):
1322 
