There were 9 more boys than girls in the gymnasium. Excluding 9 girls, the number of girls was
23 of the number of boys. When another 3 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 |
9 more |
|
Before |
3 u |
2 u + 9 |
Change |
+ 3 |
|
After |
3 u + 3 |
2 u + 9 |
Number of boys at first was 9 more than the number of girls. If another 9 girls entered the gymnasium at first, the number of boys and girls at first would be the same.
3 u = 2 u + 9 + 9
3 u - 2 u = 9 + 9
1 u = 18
Total number of boys in the end
= 3 u + 3
= 3 x 18 + 3
= 54 + 3
= 57
Total number of students in the end
= 3 u + 3 + 2 u + 9
= 5 u + 12
= 5 x 18 + 12
= 102
Fraction of the students who were boys in the end
=
57102 =
1934 Answer(s):
1934