Write an equation for the problem and solve. There are 17 2/3 gallons of water in the tank. The tank is 3/4 full. How many gallons of water, G, can the tank hold? My answer was G= 13 1/4. I did the inverse and got 17 2/3 gallons back that's correct.. But why is it that the tank holds less the the amount currently in it... Where did I go wrong.

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Write an equation for the problem and solve. There are 17 2/3 gallons of water in the tank. The tank is 3/4 full. How many gallons of water, G, can the tank hold? My answer was G= 13 1/4. I did the inverse and got 17 2/3 gallons back that's correct.. But why is it that the tank holds less the the amount currently in it... Where did I go wrong.

Mathematics
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3/4x=17 2/3
Mertsj, I am trying to figure out where did I go wrong finding G or in your case X
\[x=\frac{53}{3}\times\frac{4}{3}=\frac{212}{9}\]

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What equation did you write?
The thought process is; 3/4 of a full tank is 17 2/3
\[\alpha \times 3/4= \]
METSj Thanks!!
yw
The amount the tank can hold should have been 23.55. \[(3/4) t = 17.66\] \[(1/4) t = (17.66)/4\] \[t = 17.666 *(4/3)\] \[t = 17.55\]

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