In March, the ratio of boys and girls in a school's Chess Club was 3 : 5. In April, 38 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 Chess Club in March. How many of the new members were girls?
| |
Boys |
Girls |
| Before |
3 u |
5 u |
| Change |
+ 38 |
| 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 + 5 u
= 8 u
= 8 x 2
= 16
Total number of members in the end
= 16 + 38
= 54
Total number of members in the end
= 5 p + 4 p
= 9 p
9 p = 54
1 p = 54 ÷ 9 = 6
Number of girls in the end
= 4 p
= 4 x 6
= 24
Number of girls at first
= 5 u
= 5 x 2
= 10
Number of new members who were girls
= 24 - 10
= 14
Answer(s): 14
