Q. 94.2( 26 Votes )

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Answer :

Let the number of girls be x and number of boys be y

Given that the total number of students = 60


x + y = 60 y = 60 x


Total money collected = 1600


According to the given condition


1600 = xy + yx


1600 = 2 xy


xy = 800


x( 60 –x) = 800


x2 - 60x + 800 = 0


x2 – 20x – 40x + 800 = 0


x ( x – 20) – 40 (x – 20) = 0


(x - 40) (x - 20) = 0


x = 40 or 20


Hence if the number of girls is 40, then the number of boys is 20


And if the number of girls is 20, then the number of boys is 40.


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