There were 6 more boys than girls in the computer lab. Excluding 7 girls, the number of girls was
34 of the number of boys. When another 4 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 |
6 more |
|
Before |
4 u |
3 u + 7 |
Change |
+ 4 |
|
After |
4 u + 4 |
3 u + 7 |
Number of boys at first was 6 more than the number of girls. If another 6 girls entered the computer lab at first, the number of boys and girls at first would be the same.
4 u = 3 u + 7 + 6
4 u - 3 u = 7 + 6
1 u = 13
Total number of boys in the end
= 4 u + 4
= 4 x 13 + 4
= 52 + 4
= 56
Total number of students in the end
= 4 u + 4 + 3 u + 7
= 7 u + 11
= 7 x 13 + 11
= 102
Fraction of the students who were boys in the end
=
56102 =
2851 Answer(s):
2851