Question

in a ckass of 60 students each boy contributes rupees equal to number of girls and each girl contributes rupees equal to the number of boys if the total amount is 1600 then how many girls and boys are there in class​

Answer 1

Answer:

Number boys and girls 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

$\blue\{The number of boys and girls in the class = 40 or 20}$