SOLUTION: an automobile tank is 1/6 full of gasoline. when eight litres are added to the tank, it is 1/4 full of gasoline. how many litres of gasoline does the tank hold

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Question 747051: an automobile tank is 1/6 full of gasoline. when eight litres are added to the tank, it is 1/4 full of gasoline. how many litres of gasoline does the tank hold
Found 2 solutions by stanbon, lwsshak3:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
an automobile tank is 1/6 full of gasoline. when eight litres are added to the tank, it is 1/4 full of gasoline. how many litres of gasoline does the tank hold
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Let the tank capacity be "x" litres.
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Equation:
(1/6)x + 8 = (1/4)x
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Multiply thru by 12 to get:
2x + 96 = 3x
x = 96 litres
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Cheers,
Stan H.

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
an automobile tank is 1/6 full of gasoline. when eight litres are added to the tank, it is 1/4 full of gasoline. how many litres of gasoline does the tank hold.
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let x= litres of gasoline the tank holds.
x/6+8=x/4 (1/6 capacity+8 litres=1/4 capacity)
x/4-x/6=8
3x/12-2x/12=8
x/12=8
x=96 litres of gasoline the tank holds.