Question

What 2 mansons earn in a day is earned by 3 male workers in a day. The daily wages of 15 female workers is €30 more than the total daily wage
s of 5 masons and 3 male workers. If one mason, one male worker and 2 female workers are engaged for a day, the builder has to pay €160 as wages. Find the daily wages of a mason, a male worker and a female worker.

Answer 1

Answer:

€40,  €60, €30  

Step-by-step explanation:

• Manson's daily wage- x
• Male worker's daily wage- y
• Female worker's daily wage- z

Solution

We will use the given to build equations and solve by elimination method

We got as per given:

• 2x=3y ⇒ y=2x/3

• 15z=5x+3y+30 ⇒ 15z=5x+2x+30⇒ 15z-7x=30  (×5) ⇒ 75z-35x=150

• x+y+2z=160 ⇒x+2x/3+2z=160 ⇒ 5x+6z=480 (×7) ⇒ 42z+35x=3360

• 75z+42z=150+3360 ⇒117z=3510 ⇒ z=3510/117⇒ z=30
• 15*30-7x=30 ⇒ 7x=420 ⇒ x=60
• y=2*60/3 ⇒ y=40

• Manson's daily wage- €40
• Male worker's daily wage- €60
• Female worker's daily wage- €30