There were 5 more girls than boys in the canteen. Excluding 2 boys, the number of boys was
23 of the number of girls. When another 5 girls joined, what fraction of the students were girls in the end? Give your answer in its simplest form.
| |
Girls |
Boys |
Comparing girls
and boys at first |
5 more |
|
| Before |
3 u |
2 u + 2 |
| Change |
+ 5 |
|
| After |
3 u + 5 |
2 u + 2 |
Number of girls at first was 5 more than the number of boys. If another 5 boys entered the canteen at first, the number of girls and boys at first would be the same.
3 u = 2 u + 2 + 5
3 u - 2 u = 2 + 5
1 u = 7
Total number of girls in the end
= 3 u + 5
= 3 x 7 + 5
= 21 + 5
= 26
Total number of students in the end
= 3 u + 5 + 2 u + 2
= 5 u + 7
= 5 x 7 + 7
= 42
Fraction of the students who were girls in the end
=
2642 =
1321 Answer(s):
1321 
