SOLUTION: Mrs.Hwang is taking her vehicle to the shop to have the gas tank expanded by 10 gallons. Now, it costs her $42.56 to fill her tank. Once the new tank is in, it will cost her $72 96

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Question 760863: Mrs.Hwang is taking her vehicle to the shop to have the gas tank expanded by 10 gallons. Now, it costs her $42.56 to fill her tank. Once the new tank is in, it will cost her $72 96. How large is her tank now?
Answer by josgarithmetic(39799) About Me  (Show Source):
You can put this solution on YOUR website!
Tank will be increased in capacity by a factor of 72.96%2F42.56=whatever+it+is.

Initial volume, v.
highlight%28v%2B10=v%2A%2872.96%2F42.56%29%29

The 10 added gallons of capacity makes a volume increase by a factor of approximately 1.71.

%28%2872.96%2F42.56%29-1%29v=10
switch to decimal approximation:
%281.71428-1%29v=10
0.714286%2Av=10
v=10%2F0.714286
highlight%28v=14%29 gallons