There were 3 more boys than girls in the classroom. Excluding 2 girls, the number of girls was
23 of the number of boys. When another 3 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 |
3 more |
|
| Before |
3 u |
2 u + 2 |
| Change |
+ 3 |
|
| After |
3 u + 3 |
2 u + 2 |
Number of boys at first was 3 more than the number of girls. If another 3 girls entered the classroom at first, the number of boys and girls at first would be the same.
3 u = 2 u + 2 + 3
3 u - 2 u = 2 + 3
1 u = 5
Total number of boys in the end
= 3 u + 3
= 3 x 5 + 3
= 15 + 3
= 18
Total number of pupils in the end
= 3 u + 3 + 2 u + 2
= 5 u + 5
= 5 x 5 + 5
= 30
Fraction of the pupils who were boys in the end
=
1830 =
35 Answer(s):
35 
