SOLUTION: Alonzo's gas tank is 1/5 full. After he buys 6 gallons of gas, it is 7/10 full. How many gallons can Alonzo's tank hold?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Alonzo's gas tank is 1/5 full. After he buys 6 gallons of gas, it is 7/10 full. How many gallons can Alonzo's tank hold?      Log On


   



Question 860867: Alonzo's gas tank is 1/5 full. After he buys 6 gallons of gas, it is 7/10 full. How many gallons can Alonzo's tank hold?
Found 2 solutions by richwmiller, stanbon:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
1/5x+6=7/10x
2x/10+6=7x/10
2x+60=7x
60=5x
12=x

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Alonzo's gas tank is 1/5 full. After he buys 6 gallons of gas, it is 7/10 full. How many gallons can Alonzo's tank hold?
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Let "x" be the amount the tank can hold.
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Equation:
(1/5)x + 6 = (7/10)x
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Multiply thru by 10 to get:
2x + 60 = 7x
5x = 60
x = 12 gallons (tank capacity)
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Cheers,
Stan H.
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