Question

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?

Answer 1

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).