In March, the ratio of girls and boys in a school's Choir was 3 : 5. In April, 26 new members joined the club. As a result, the ratio of girls to boys in the club became 4 : 3. There were 6 girls in the Choir in March. How many of the new members were boys?
|
Girls |
Boys |
Before |
3 u |
5 u |
Change |
+ 26 |
After |
4 p |
3 p |
Number of girls 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 + 26
= 42
Total number of members in the end
= 4 p + 3 p
= 7 p
7 p = 42
1 p = 42 ÷ 7 = 6
Number of boys in the end
= 3 p
= 3 x 6
= 18
Number of boys at first
= 5 u
= 5 x 2
= 10
Number of new members who were boys
= 18 - 10
= 8
Answer(s): 8