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 gasolin

Question

3 years ago

10

e remain in the gas tank. How many gallons of gasoline dose the tank of Lydia's car hold? Show your work.

1 answer:

umka21 [38] · Answer 1 · 2022-05-06T18:47:02+03:00

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