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 X: B/G = 1/2  = 5/10

Y: B/G = 4/1 = 12/3

Note: 5 + 10 = 12 + 3

Fraction of girls in the class = (10 + 3)/(15 + 15) = 17/30

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The key point to note is that the class is evenly divided into Team X and Team Y, or number of students in both teams are the same

Team X       Boy : Girl = 1 : 2  = 5 : 10

Team Y        Boy: Girl = 4: 1 = 12 : 3

Note that 5 + 10 = 12 + 3

So fraction of girls in the class = ( 10 + 3) / ( 15 + 15) = 13/30  

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