SOLUTION: Archie's gas tank is 1/3 full. If Archie adds 3 gallons of gas to the tank it will be 1/2 full. what is the capacity in gallons of Archie's tank?

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Question 210463: Archie's gas tank is 1/3 full. If Archie adds 3 gallons of gas to the tank it will be 1/2 full. what is the capacity in gallons of Archie's tank?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Archie's gas tank is 1/3 full. If Archie adds 3 gallons of gas to the tank it will be 1/2 full.
what is the capacity in gallons of Archie's tank?
:
Let x = tank capacity
:
Write an equation for what it says:
1%2F3x + 3 = 1%2F2x
:
Multiply each term by 6 to get rid of the denominators. results:
2x + 6(3) = 3x
18 = 3x - 2x
x = 18 gal tank