In February, the ratio of boys and girls in a school's Bowing Club was 3 : 5. In March, 56 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 Bowing Club in February. How many of the new members were girls?
| |
Boys |
Girls |
| Before |
3 u |
5 u |
| Change |
+ 56 |
| 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 + 5 u
= 8 u
= 8 x 4
= 32
Total number of members in the end
= 32 + 56
= 88
Total number of members in the end
= 6 p + 5 p
= 11 p
11 p = 88
1 p = 88 ÷ 11 = 8
Number of girls in the end
= 5 p
= 5 x 8
= 40
Number of girls at first
= 5 u
= 5 x 4
= 20
Number of new members who were girls
= 40 - 20
= 20
Answer(s): 20
