In September, the ratio of boys and girls in a school's Gardening Club was 4 : 7. In October, 95 new members joined the club. As a result, the ratio of boys to girls in the club became 7 : 6. There were 8 boys in the Gardening Club in September. How many of the new members were girls?

	Boys	Girls
Before	4 u	7 u
Change	+ 95
After	7 p	6 p

Number of boys at first = 4 u

4 u = 8

1 u = 8 ÷ 4 = 2

Total number of members at first
= 4 u + 7 u
= 11 u
= 11 x 2
= 22

Total number of members in the end
= 22 + 95
= 117

Total number of members in the end
= 7 p + 6 p
= 13 p

13 p = 117

1 p = 117 ÷ 13 = 9

Number of girls in the end
= 6 p
= 6 x 9
= 54

Number of girls at first
= 7 u
= 7 x 2
= 14 

Number of new members who were girls
= 54 - 14
= 40

Answer(s): 40