In January, the ratio of boys and girls in a school's Basketball Club was 2 : 5. In February, 35 new members joined the club. As a result, the ratio of boys to girls in the club became 4 : 3. There were 8 boys in the Basketball Club in January. How many of the new members were girls?
| |
Boys |
Girls |
| Before |
2 u |
5 u |
| Change |
+ 35 |
| After |
4 p |
3 p |
Number of boys at first = 2 u
2 u = 8
1 u = 8 ÷ 2 = 4
Total number of members at first
= 2 u + 5 u
= 7 u
= 7 x 4
= 28
Total number of members in the end
= 28 + 35
= 63
Total number of members in the end
= 4 p + 3 p
= 7 p
7 p = 63
1 p = 63 ÷ 7 = 9
Number of girls in the end
= 3 p
= 3 x 9
= 27
Number of girls at first
= 5 u
= 5 x 4
= 20
Number of new members who were girls
= 27 - 20
= 7
Answer(s): 7
