the fuel efficiency rating for a certain car is 28 mi/gal on the highway and 20 mi/gal in the city. during one week the car traveled 220 mi and used 9 gal of fuel. how much fuel?

Respuesta :

Answer:

4 gallon fuel was used for city driving and 5 gallon fuel used on the highway.

Step-by-step explanation:

Consider the provided information.

Let x is the gallon used in highway and y is the gallon used in city.

The fuel efficiency rating for a certain car is 28 mi/gal on the highway and 20 mi/gal in the city.

Thus, [tex]28x+20y=220[/tex]

They used total 9 gallon.

[tex]x+y=9[/tex]

[tex]x=9-y[/tex]

Substitute the value of x in [tex]28x+20y=220[/tex].

[tex]28(9-y)+20y=220[/tex]

[tex]252-28y+20y=220[/tex]

[tex]8y=32[/tex]

[tex]y=4[/tex]

Substitute the value of y in [tex]x=9-y[/tex].

[tex]x=9-4=5[/tex]

Hence, the value of x is 5 and the value of y is 4.

4 gallon fuel was used for city driving and 5 gallon fuel used on the highway.