Question

A sum of Rs.312 was divided among 100 boys and girls in such a way that the boy gets Rs.3.60 and each girl Rs.2.40 the number of girls is ( A ) 50 ( B ) 35 ( C ) 40 ( D ) 45

Answer 1

Answer:

C) 40 girls

Step-by-step explanation:

let the number of boys be x

and the number of girls be y

x + y = 100 (equ 1)

total amount to be divided = Rs. 312

amount given to each boy = Rs. 3.60

amount given to each girl = Rs. 2.40

3.60x + 2.40y = 312 (equ 2)

multiply equ 1 with 3.60

3.60x + 3.60y = 360 (equ 3)

subtract equ 2 from equ 2

we get

1.2y = 48

y = 48/1.2

y = 40

substitute y in equ 1

x + y = 100

x + 40 = 100

x = 100 - 40

x = 60

therefore the number of boys = x = 60

the number of girls = y = 40

hope you get your answer