Question

Carpenter + painter = 1100 painter + electrician = 3200 electrician + plumber = 5100 plumber + mason = 2200 mason + labour = 3000 labour + painter = 1100 find every person's cash?

Answer 1

Answer:

2300

Step-by-step explanation:

The answer is:  

     $900 to the Painter,

     $200 to the Paper Hanger,

     $800 to the Plumber,

     $300 to the Electrician,

     $3,000 to the Carpenter,

     $2,300 to the Mason.

Let PH = amount charged by the Paper Hanger

Let PA = amount charged by the Painter

Let PL = amount charged by the Plumber

Let C = amount charged by the Carpenter

Let E = amount charged by the Electrician

Let M = amount charged by the Mason

Then we can set up the following six equations with 6 unknowns:

1)       PH + PA = 1100

2)       PL + PA = 1700

3)       PL + E = 1100

4)       E + C = 3300

5)       C + M = 5300

6)       M + PA = 3200

M - E = 2000       (5 - 4)

M + PA + PL + E = 4300       (3 + 6)

M + E = 2600       (3 + 6 - 2)

2M = 2600       (adding the results of 5 - 4 and 3 + 6 - 2)

So, M = 2300.