There were 4 more boys than girls in the classroom. Excluding 4 girls, the number of girls was
34 of the number of boys. When another 8 boys joined, what fraction of the students were boys in the end? Give your answer in its simplest form.
| |
Boys |
Girls |
Comparing boys
and girls at first |
4 more |
|
| Before |
4 u |
3 u + 4 |
| Change |
+ 8 |
|
| After |
4 u + 8 |
3 u + 4 |
Number of boys at first was 4 more than the number of girls. If another 4 girls entered the classroom at first, the number of boys and girls at first would be the same.
4 u = 3 u + 4 + 4
4 u - 3 u = 4 + 4
1 u = 8
Total number of boys in the end
= 4 u + 8
= 4 x 8 + 8
= 32 + 8
= 40
Total number of students in the end
= 4 u + 8 + 3 u + 4
= 7 u + 12
= 7 x 8 + 12
= 68
Fraction of the students who were boys in the end
=
4068 =
1017 Answer(s):
1017 
