PSLE
In a school, 60% of the members in Chess Club and 75% of the members in Literary Club are girls. Both clubs have the same number of boys. The Chess Club has 30 less girls than the Literary Club. How many members are there in Literary Club?

	Chess Club		Literary Club
Types	Girls	Boys	Girls	Boys
Comparing the girls and the boys in each club	3x1	2x1	3x2	1x2
Comparing the boys in 2 clubs		1		1
	3 u	2 u	6 u	2 u

60% = ⁶⁰₁₀₀ = ³₅

Fraction of the members in Chess Club that are boys
= 1 - ³₅
= ²₅

75% = ⁷⁵₁₀₀ = ³₄

Fraction of the members in Literary club that are boys
= 1 - ³₄
= ¹₄

The number of boys in both clubs is the same. Make the numerators the same. LCM of 2 and 1 is 2. 

2x15x1 of the members in Chess Club = 1x24x2 of the members in Literary Club
25of the members in Chess Club = 28 of the members in Literary Club

Number of less girls in Chess Club than Literary Club
= 6 u - 3 u
= 3 u

3 u = 30

1 u = 30 ÷ 3 = 10

Number of members in Literary Club
= 8 u
= 8 x 10
= 80

Answer(s): 80