Question

4 boys and 6 girls can complete a work in 8 days, while 3 boys and 7 girls can complete it in 10
days. If the group is paid Rs. 8,000 for the task, what will be the wage paid in Rs. to each boy
and girl per day?​

Answer 1

Step-by-step explanation:

let no. of boys=x

and

let no. of girls=y

4x+6y=8-----(1)

3x+7y=10------(2)

solving (1) and (2)

multiply (1) with 3 we get,

12x+18y=24-------(3)

multi ply (2) with 4 we get,

12x+28y=40------(4)

(3) - (4) we get,

18y -28y =24-40

-10y= -16

10y = 16

y= 16/10

y=8/5

substituting value of y in (3) we get,

12x+18×8/5=24

12x+144/5=24

12x=24-144/5

cross multiplying we get,

12x=(120-144)/5

12x= -24/5

x=(-24/5)×1/12

x= -2/5