Question

In a class of 60 students,each boy contributed rupees equal to number of girls and each girl contributed rupees equal to no of boys.if the total money collected was rs 1600.how many boys are there in the class?

Answer 1

hope this helps you........

Answer 2

Answer:

Case 1:

If number of boys = 40

Number of girls = (60-40)=20

Case 2:

If number of boys = 20

Number of girls = (60-20)=40

Step-by-step explanation:

Total students in the class = 60

Let number of boys = x

number of girls = 60-x

Contribution of each boy = Rs(60-x)

Contribution of each girl = Rs x

Total amount collected = 1600

=> x(60-x)+(60-x)x=1600

$\implies 2x(60-x)=1600$

$\implies 60x-x^{2}=\frac{1600}{2}$

$\implies 60x-x^{2}=800$

$\implies x^{2}-60x+800=0$

$\implies x^{2}-40x-20x+800=0$

$\implies x(x-40)-20(x-40)=0$

$\implies (x-40)(x-20)=0$

$\implies x-40=0\:Or \: x-20=0$

$\implies x=40\:Or \: x=20$

Therefore,

Case 1:

If number of boys = 40

Number of girls = (60-40)=20

Case 2:

If number of boys = 20

Number of girls = (60-20)=40

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