Question

if twenty four men and sixteen women work on a day the total wages to be paid is 11 600. if twelve men and thirty seven women work on a day the total wages to be paid remains the same. what is the wages paid to a man for a day?s work?

Answer 1

"Let a man’s wage per day= a

And woman’s wage per day= b.

There are 24 men so, 24xa= 24a and no. Of women is16 so, 16xb= 16b.

Therefore, 24a+ 16b= 11600.---------1

According to the other part of the question,

12a+ 37b= 11600. ------------2

For solving the equations, we will multiply the  equation 2 with 2 and we get,

2(12a+ 37b= 11600.)

24a+ 74b =23200.-----------3

Solving 1 and 3 we get,

58b= 11600

B= 200

Putting the value of b=200 in equation 1 we get,

24x a +16x 200= 11600

24 a + 3200= 11600

24 a= 11600- 3200

24a= 8400

A= 8400/24

A= 350

Hence, the daily wage of a man is Rs. 350."