posted by .

A plumber, electrician and painter were all hired to work on 3 different house. For Adam's house, a plumber worked a total of 35 hours, an electrician worked 42 hours and a painter needed 29 hrs to complete the job. the total cost of the three workers for adam's house was \$2,570.

A second house they worked on was the watson home. in this house each of the three workers needed 28 hours to complete their part of the job. The total cost of the work on the watson home was \$1,960.

A third house belonged to the Miller family. The electrician worked 24 hours, the plumber 30 hours and the painter worked 25 hours. the total for this home was \$1,845.
** Using the information from these three homes, how much did each of the workers charge per hour?

• PRE CALC HELP PLEASE -

First set up equation for each house to put together a system of 3 linear equations.
You can then solve by the method you have learned.

I will start the setting up of the equations.

Let
M=pluMber's hours
E=electrician's hours
N=paiNter's hours

28M+28E+28N=1960 but can be simplified to
M+E+N=70 ...(2) Watson's house
30M+24E+25N=1845 ...(3) Miller's home
Note that the order is different in Miller's home, but rearranged to the same initial order.

The system of equations to be solved will then be:
35M+42E+29N=2570 ...(1)
M+E+N=70 ...........(2)
30M+24E+25N=1845 ...(3)

You can solve the system of equations using the method(s) you have learned, such as Gauss elimination, Cramer's rule, iterations, etc.
Post your answer for a check if you wish, or you can substitute the solution into each equation to check.

• PRE CALC HELP PLEASE -

When I solved the system of equations I got M=25, E=30 and N=15 and when I substituted into each equation it worked, thank you so much!

## Similar Questions

1. ### Math

If it takes painter # 1 three hours to paint a house, and painter # 2 eight hours to paint a house, how long would it take them if they work together?
2. ### Pre Calc

A plumber charges \$40 per hour for labor with a minimum labor charge of \$30. For example, if she does her repairs in only 0.2 hours, then \$40*0.2=\$8, which is less than the minimum, so she would charge \$30 for labor. We will assume …
3. ### math

10. A house painter can finish a house in 6 hours. His partner can finish the same house in 12 hours. Which of the following is the number of hours it would have taken them to finish painting the house if they had worked together?
4. ### Math

1. Mackenzie spent a lot of time on her project for Columbus Day. On Monday she worked for 2 hours and 33 minutes on making a poster. On Tuesday she worked for 1 hour and 28 minutes drawing a picture of Columbus. On Wednesday she spent …
5. ### Math

1. Mackenzie spent a lot of time on her project for Columbus Day. On Monday she worked for 2 hours and 33 minutes on making a poster. On Tuesday she worked for 1 hour and 28 minutes drawing a picture of Columbus. On Wednesday she spent …
6. ### algerbra

A plumber charges customers \$48 for each hour worked plus an additional \$9 for travel. If h represents the number of hours worked, which of the following expressions could be used to calculate the plumber's total charge in dollars?
7. ### Math

An electrician charges \$120 after 2 hours of work and \$190after 4 hours of work .write a linear model that represents the total cost as a function of the number of hours worked
8. ### Algebra

Two plumbers received a job. At first, one of the plumbers worked alone for 1 hour, and then they worked together for the next 4 hours. After this 40% of the job was finished. How long would it take each plumber to do the whole job …
9. ### math

Hi again. I don't understand these two questions so um please help me. Also explain me how to do it. Please 1. An electrician charges \$40 to come to your house. She also charges \$55 for each hour that she works. The electrician charges …
10. ### Math

1. A painter earns \$15 per hour. What is the minimum number of hours he must work to earn at least \$200?

More Similar Questions