Our car has a 15-gallon gas tank. A lower grade of gasoline costs $2.96 per gallon. The premium grade gasoline costs $3.15 per gallon. There are three gallons left in your gas tank. What is the difference in the cost of filling your tank between the two grades of gasoline?

Respuesta :

Answer:

The difference in the cost of filling your tank between the two grades of gasoline is $2.28.

Step-by-step explanation:

Given : Our car has a 15-gallon gas tank. A lower grade of gasoline costs $2.96 per gallon. The premium grade gasoline costs $3.15 per gallon. There are three gallons left in your gas tank.

To find : What is the difference in the cost of filling your tank between the two grades of gasoline?

Solution :

The gas tank is of 15 gallons

There are three gallons left in the gas tank.

The tank has to be filled with 15 - 3 = 12 gallons

A lower grade of gasoline costs $2.96 per gallon.

So, the cost of filling the tank with the lower grade gasoline is

[tex]C_1=12\times 2.96[/tex]

[tex]C_1=\$35.52[/tex]

A upper grade of gasoline costs $3.15 per gallon.

So, the cost of filling the tank with the lower grade gasoline is

[tex]C_2=12\times 3.15[/tex]

[tex]C_2=\$37.8[/tex]

The difference in the cost of filling your tank between the two grades is

[tex]C= $37.80 - $35.52[/tex]

[tex]C= $2.28[/tex]

Therefore, the difference in the cost of filling your tank between the two grades of gasoline is $2.28.

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