PSLE
In a school, 45% of the members in Dancing Club and 75% of the members in Singing Club are boys. Both clubs have the same number of girls. The Dancing Club has 96 less boys than the Singing Club. How many members are there in Singing Club?

	Dancing Club		Singing Club
Types	Boys	Girls	Boys	Girls
Comparing the boys and the girls in each club	9x1	11x1	3x11	1x11
Comparing the girls in 2 clubs		1		1
	9 u	11 u	33 u	11 u

45% = ⁴⁵₁₀₀ = ⁹₂₀

Fraction of the members in Dancing Club that are girls
= 1 - ⁹₂₀
= ¹¹₂₀

75% = ⁷⁵₁₀₀ = ³₄

Fraction of the members in Singing club that are girls
= 1 - ³₄
= ¹₄

The number of girls in both clubs is the same. Make the numerators the same. LCM of 11 and 1 is 11. 

11x120x1 of the members in Dancing Club = 1x114x11 of the members in Singing Club
1120of the members in Dancing Club = 1144 of the members in Singing Club

Number of less boys in Dancing Club than Singing Club
= 33 u - 9 u
= 24 u

24 u = 96

1 u = 96 ÷ 24 = 4

Number of members in Singing Club
= 44 u
= 44 x 4
= 176

Answer(s): 176