Respuesta :
Answer:
Loading/unloading hourly rate: $70
Packing/unpacking hourly rate: $55
Step-by-step explanation:
We can write this as a system of linear equations.
We define L as the loading/unloading hourly rate, and P as the packing/unpacking hourly rate.
"One quote was for a weekday move which is for 8 hours of loading/unloading and 6 hours of packing/unpacking for $890":
[tex]8L+6P=890[/tex]
"The other quote was for a weekend move which is for 5 hours of loading/unloading and 3 hours of packing/unpacking for $515":
[tex]5L+3P=515[/tex]
If we express L in function of P in the first equation, and then replace this value in the second equation, we have:
[tex]8L+6P=890\\\\8L=890-6P\\\\L=\dfrac{890-6P}{8}[/tex]
[tex]5L+3P=515\\\\5\cdot \dfrac{890-6P}{8}+3P=515\\\\556.25-3.75P+3P=515\\\\-0.75P=515-556.25=-41.25\\\\P=41.25/0.75=55[/tex]
Then, L is:
[tex]L=\dfrac{890-6P}{8}=\dfrac{890-6(55)}{8}=\dfrac{890-330}{8}=\dfrac{560}{8}=70[/tex]
