In July, the ratio of boys and girls in a school's Bowing Club was 5 : 8. In August, 44 new members joined the club. As a result, the ratio of boys to girls in the club became 4 : 3. There were 10 boys in the Bowing Club in July. How many of the new members were girls?
|
Boys |
Girls |
Before |
5 u |
8 u |
Change |
+ 44 |
After |
4 p |
3 p |
Number of boys at first = 5 u
5 u = 10
1 u = 10 ÷ 5 = 2
Total number of members at first
= 5 u + 8 u
= 13 u
= 13 x 2
= 26
Total number of members in the end
= 26 + 44
= 70
Total number of members in the end
= 4 p + 3 p
= 7 p
7 p = 70
1 p = 70 ÷ 7 = 10
Number of girls in the end
= 3 p
= 3 x 10
= 30
Number of girls at first
= 8 u
= 8 x 2
= 16
Number of new members who were girls
= 30 - 16
= 14
Answer(s): 14