In October, the ratio of boys and girls in a school's Bowing Club was 3 : 8. In November, 59 new members joined the club. As a result, the ratio of boys to girls in the club became 5 : 4. There were 6 boys in the Bowing Club in October. How many of the new members were girls?
|
Boys |
Girls |
Before |
3 u |
8 u |
Change |
+ 59 |
After |
5 p |
4 p |
Number of boys at first = 3 u
3 u = 6
1 u = 6 ÷ 3 = 2
Total number of members at first
= 3 u + 8 u
= 11 u
= 11 x 2
= 22
Total number of members in the end
= 22 + 59
= 81
Total number of members in the end
= 5 p + 4 p
= 9 p
9 p = 81
1 p = 81 ÷ 9 = 9
Number of girls in the end
= 4 p
= 4 x 9
= 36
Number of girls at first
= 8 u
= 8 x 2
= 16
Number of new members who were girls
= 36 - 16
= 20
Answer(s): 20