Question

¡Van charges an hourly rate for a moving team to load and unload a truck. The charge is a different hourly rate for a team to pack and unpack boxes. Use the quotes to determine the Van hourly rates. Weekday Move 8 hours of loading/unloading 6 hours of packing/unpacking $890 total cost Weekend Move 5 hours of loading/unloading 3 hours of packing/unpacking $515 total cost​

Answer 1

Explanation:

lets represent:

Hours of Loading and Unloading = X

Hours of packing = y

Weekday move: 8 hours of loading and unloading services. 6 hours of packing and unpacking service. $890 total cost.

Equation 1: 18x + 6y = 890

Weekend Move: 5 hours of loading and unloading services. 3 hours of packing and unpacking services. $515 total cost.

Equation 2: 5x + 3y = 515

-

Multiply Equation 1 by 5 and Equation 2 by 4

Equation 3: 90x + 30y = 4450

Equation 4: 20x + 12y = 2060

We Subtract Equation 4 from 3

70x = 2390

x = 2390/70

x = $34.14

Solving for y

-Equation 1-

18x + 6y = 890

18(24.14) + 6y = 890

434.52 + 6y = 890

6y = 890 - 434.52

6y = 455.48

y = 75.91

y = $75.91

Hours of Loading and Unloading rates= x = $34.14

Hours of packing rates = y = $75.91