There were 3 more boys than girls in the tuck shop. Excluding 10 girls, the number of girls was
23 of the number of boys. When another 5 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 |
3 more |
|
Before |
3 u |
2 u + 10 |
Change |
+ 5 |
|
After |
3 u + 5 |
2 u + 10 |
Number of boys at first was 3 more than the number of girls. If another 3 girls entered the tuck shop at first, the number of boys and girls at first would be the same.
3 u = 2 u + 10 + 3
3 u - 2 u = 10 + 3
1 u = 13
Total number of boys in the end
= 3 u + 5
= 3 x 13 + 5
= 39 + 5
= 44
Total number of students in the end
= 3 u + 5 + 2 u + 10
= 5 u + 15
= 5 x 13 + 15
= 80
Fraction of the students who were boys in the end
=
4480 =
1120 Answer(s):
1120