SOLUTION: Felipe's gas tank is 1/4 full. After he buys 10 gallons of gas, it is 2/3 full. How many gallons can Felipe's tank hold?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Felipe's gas tank is 1/4 full. After he buys 10 gallons of gas, it is 2/3 full. How many gallons can Felipe's tank hold?      Log On


   

Question 1027181: Felipe's gas tank is 1/4 full. After he buys 10 gallons of gas, it is 2/3
full. How many gallons can Felipe's tank hold?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Call the tank capacity, T gallons.

%281%2F4%29T%2B10=%282%2F3%29T



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After you think about that equation and understand, then solve for T.

10=%282%2F3%29T-%281%2F4%29T
10=%282%2F3-1%2F4%29T
T%288%2F12-3%2F12%29=10
T%285%2F12%29=10
T%2F12=2
T=24