Question

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?

Answer 1

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

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

`C_1=12* 2.96`

`C_1=\$35.52`

A upper grade of gasoline costs $3.15 per gallon.

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

`C_2=12* 3.15`

`C_2=\$37.8`

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

`C= $37.80 - $35.52`

`C= $2.28`

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