There were 3 more boys than girls in the tuck shop. Excluding 8 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 |
3 more |
|
Before |
3 u |
2 u + 8 |
Change |
+ 3 |
|
After |
3 u + 3 |
2 u + 8 |
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 + 8 + 3
3 u - 2 u = 8 + 3
1 u = 11
Total number of boys in the end
= 3 u + 3
= 3 x 11 + 3
= 33 + 3
= 36
Total number of students in the end
= 3 u + 3 + 2 u + 8
= 5 u + 11
= 5 x 11 + 11
= 66
Fraction of the students who were boys in the end
=
3666 =
611 Answer(s):
611