Lydia gas tank was 3/4 full when she left on a trip. She used 8 gallons of gasoline during her trip. Now, 5.5 gallons of gasoline remain in the gas tank. How many gallons of gasoline dose the tank of Lydia's car hold? Show your work.

Answer: The tank holds 18 gallons of gasoline.

Step-by-step explanation:

Let x represent the number number of gallons of gasoline that the tank of Lydia's car hold.

Lydia gas tank was 3/4 full when she left on a trip. It means that the amount of gasoline in the tank was 3x/4 gallons.

She used 8 gallons of gasoline during her trip. The amount that would be left is

3x/4 - 8

Now, 5.5 gallons of gasoline remain in the gas tank. It means that

3x/4 - 8 = 5.5

Multiplying both sides of the equation by 4, it becomes

3x - 32 = 22

3x = 22 + 32

3x = 54

x = 54/3

x = 18