There were 12 more boys than girls in the auditorium. Excluding 10 girls, the number of girls was
45 of the number of boys. When another 6 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 |
12 more |
|
Before |
5 u |
4 u + 10 |
Change |
+ 6 |
|
After |
5 u + 6 |
4 u + 10 |
Number of boys at first was 12 more than the number of girls. If another 12 girls entered the auditorium at first, the number of boys and girls at first would be the same.
5 u = 4 u + 10 + 12
5 u - 4 u = 10 + 12
1 u = 22
Total number of boys in the end
= 5 u + 6
= 5 x 22 + 6
= 110 + 6
= 116
Total number of students in the end
= 5 u + 6 + 4 u + 10
= 9 u + 16
= 9 x 22 + 16
= 214
Fraction of the students who were boys in the end
=
116214 =
58107 Answer(s):
58107