In August, the ratio of boys and girls in a school's Bowing Club was 5 : 8. In September, 73 new members joined the club. As a result, the ratio of boys to girls in the club became 6 : 5. There were 10 boys in the Bowing Club in August. How many of the new members were girls?
|
Boys |
Girls |
Before |
5 u |
8 u |
Change |
+ 73 |
After |
6 p |
5 p |
Number of boys at first = 5 u
5 u = 10
1 u = 10 ÷ 5 = 2
Total number of members at first
= 5 u + 8 u
= 13 u
= 13 x 2
= 26
Total number of members in the end
= 26 + 73
= 99
Total number of members in the end
= 6 p + 5 p
= 11 p
11 p = 99
1 p = 99 ÷ 11 = 9
Number of girls in the end
= 5 p
= 5 x 9
= 45
Number of girls at first
= 8 u
= 8 x 2
= 16
Number of new members who were girls
= 45 - 16
= 29
Answer(s): 29