Question

The wages of 8 men and 6 boys amount to ` 33. If 4 men earn ` 4.50 more than 5 boys determine the wages of each man and boy

Answer 1

Step-by-step explanation:

Let the wage of 1 man be rs x and the wage of 1 boy be rs y.

Now, 8x+6y=33

and, 4x=4.5+5y

also, 8x=2(4x)=2(4.5+5y)=9+10y

So,8x=9+10y

Thus, 9+10y+6y=33

9+16y=33

16y=33–9

16y=24

y=24/16

y=1.5

Now, 8x+6(1.5)=33

8x+9=33

8x=33–9

8x=24

x=24/8

x=3

So, the wage of each man is rs 3 while the wage of each boy is rs 1.5.