Robert and his coworkers brought 11 work trucks to a service station for oil changes. While there they also put 6 gallons of gas into each vehicle. The cost of gas was $3.52 a gallon. The total bill was $694.32. What was the cost of an oil change for 1 truck?

Respuesta :

Answer:

The cost of an oil change for 1 truck was $42

Step-by-step explanation:

Let

x -----> the cost of an oil change for 1 truck

y -----> the cost of gas for 1 truck

z ----> the total bill

we know that

[tex]z=11[x+y][/tex]

we have

[tex]z=\$694.32[/tex]

[tex]y=(6)(3.52)=\$21.12[/tex]

substitute and solve for x

[tex]694.32=11[x+21.12][/tex]

[tex]x=(694.32/11)-21.12[/tex]

[tex]x=\$42[/tex]