In August, the ratio of boys and girls in a school's Bowing Club was 3 : 5. In September, 83 new members joined the club. As a result, the ratio of boys to girls in the club became 6 : 5. There were 6 boys in the Bowing Club in August. How many of the new members were girls?
| |
Boys |
Girls |
| Before |
3 u |
5 u |
| Change |
+ 83 |
| After |
6 p |
5 p |
Number of boys at first = 3 u
3 u = 6
1 u = 6 ÷ 3 = 2
Total number of members at first
= 3 u + 5 u
= 8 u
= 8 x 2
= 16
Total number of members in the end
= 16 + 83
= 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
= 5 u
= 5 x 2
= 10
Number of new members who were girls
= 45 - 10
= 35
Answer(s): 35
