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Zane received a quote to move his belongings to his new house. The estimate from the mover is $675 for 6 hours of packing and 5 hours of moving. Zane thinks he can reduce his cost by doing some of the packing and moving himself. If he does, the cost will decrease to $425 for 4 hours of packing and 3 hours of moving. If the mover charges a set hourly rate for packing and another set hourly rate for moving, what are these hourly rates?

Respuesta :

carlosego
To solve this problem you must apply the proccedure shown below:
 1. You have that :
 -The estimate from the moving is $675 for 6 hours of packing and 5 hours of moving. 
 - The cost will decrease to $425 for 4 hours of packing and 3 hours of moving.

 x: rate for packing.
 y: rate for moving.

 6x+5y=675
 4x+3y=425

  2. When you solve the system of equations shown above, you obtain:

 x=50
 y=75

 Therefore, the answer is: $50 (Rate for packing) and $75 (Rate for moving).

The answer is $50 (Rate for packing) and $75 (Rate for moving).

We have given that,

The estimate from the moving is $675 for 6 hours of packing and 5 hours of moving. The cost will decrease to $425 for 4 hours of packing and 3 hours of moving.

Suppose that x= rate for packing.and  y= rate for moving.

Therefore we get the equations

[tex]6x+5y=675 .....(1)\\4x+3y=425.......(2)[/tex]

What are the method for solving simultaneous equation?

There are three common methods for solving that are addition/subtraction, substitution, and graphing

We have solve this equation simultaneously so we get,

[tex]x=50\\[/tex]

plug x=50 in equation 1 we get,

y=75

Therefore, the answer is x= $50 (Rate for packing) and y=$75 (Rate for moving).

To learn more about the simultaneous equation visit:

https://brainly.com/question/386828

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