SOLUTION: Alan's gas tank is 1/2 full. He fills it with 9 gallons and it is now 4/5 full. How many gallons can Alan's tank hold

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Question 607797: Alan's gas tank is 1/2 full. He fills it with 9 gallons and it is now 4/5 full. How many gallons can Alan's tank hold
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Alan's gas tank is 1/2 full. He fills it with 9 gallons and it is now 4/5 full.
How many gallons can Alan's tank hold
:
Let f = no. of gallons in a full tank
:
4%2F5f = 1%2F2f + 9
Multiply both sides by 10, results
2(4f) = 5f + 90
8f - 5f = 90
3f = 90
f = 90/3
f = 30 gallons