SOLUTION: When 6 gallons of gasoline are put in your car’s tank, the indicator goes from ¼ of a tank to 5/8 of a tank. Find the total capacity of the gasoline tank.

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Question 271729: When 6 gallons of gasoline are put in your car’s tank, the indicator goes from ¼ of a tank to 5/8 of a tank. Find the total capacity of the gasoline tank.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
When 6 gallons of gasoline are put in your car’s tank, the indicator goes from ¼ of a tank to 5/8 of a tank. Find the total capacity of the gasoline tank.
:
Let x = tank capacity
5%2F8x - 1%2F4x = 6
:
5%2F8x - 2%2F8x = 6
:
3%2F8x = 6
:
Multiply both sides by 8
3x = 8(6)
3x = 48
x = 48%2F3
x = 16 gal tank
:
:
Check solution in original equaltion
5%2F8(16) - 1%2F4(16) =
10 - 4 = 6