Question

In a class of 60 students, each boy contributed rupees equal to the number of girls and each girl contributed rupees equal to the number of boys. If the total money then collected was ₹1600. How many boys are there in the class?

Answer 1

Answer:

Number boys in the

class = 40 or 20

Step-by-step explanation:

Let the number of boys in the

class = x

The number of girls in the class = y

the number of students in the

class = 60

x + y = 60 -----( 1 )

Given that each boy contributed

rupees is equal to number of

girls and each girl contributed

Rupees is equal to number of

boys

xy + xy = 1600

=> 2xy = 1600

=> xy = 1600/2

=> y = 800/x --- ( 2 )

From ( 1 ) & ( 2 ) , we get

x + ( 800/x ) = 60

=> x² + 800 = 60x

=> x² - 60x + 800 = 0

=> x² - 40x - 20x + 800 = 0

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

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

=> x - 40 = 0 Or x - 20 = 0

=> x = 40 or x = 20

The number of boys in the

class = 40 or 20

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