In October, the ratio of boys and girls in a school's Badminton Club was 3 : 5. In November, 32 new members joined the club. As a result, the ratio of boys to girls in the club became 4 : 3. There were 9 boys in the Badminton Club in October. How many of the new members were girls?
| |
Boys |
Girls |
| Before |
3 u |
5 u |
| Change |
+ 32 |
| After |
4 p |
3 p |
Number of boys at first = 3 u
3 u = 9
1 u = 9 ÷ 3 = 3
Total number of members at first
= 3 u + 5 u
= 8 u
= 8 x 3
= 24
Total number of members in the end
= 24 + 32
= 56
Total number of members in the end
= 4 p + 3 p
= 7 p
7 p = 56
1 p = 56 ÷ 7 = 8
Number of girls in the end
= 3 p
= 3 x 8
= 24
Number of girls at first
= 5 u
= 5 x 3
= 15
Number of new members who were girls
= 24 - 15
= 9
Answer(s): 9
