In August, the ratio of boys and girls in a school's Choir was 3 : 8. In September, 88 new members joined the club. As a result, the ratio of boys to girls in the club became 6 : 5. There were 12 boys in the Choir in August. How many of the new members were girls?
|
Boys |
Girls |
Before |
3 u |
8 u |
Change |
+ 88 |
After |
6 p |
5 p |
Number of boys at first = 3 u
3 u = 12
1 u = 12 ÷ 3 = 4
Total number of members at first
= 3 u + 8 u
= 11 u
= 11 x 4
= 44
Total number of members in the end
= 44 + 88
= 132
Total number of members in the end
= 6 p + 5 p
= 11 p
11 p = 132
1 p = 132 ÷ 11 = 12
Number of girls in the end
= 5 p
= 5 x 12
= 60
Number of girls at first
= 8 u
= 8 x 4
= 32
Number of new members who were girls
= 60 - 32
= 28
Answer(s): 28