the gasoline gauge on a van initially read 3/8 full. when 12 gallons were added to the tank, the gauge read 5/8 full. how many more gallons are needed to fill the tank?
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Let \(x\) be the size of the tank. Can you create an equation based on the information given?
We could write 3/8 of tank as \(\frac 3 8 x\) and 5/8 of tank as \(\frac 5 8 x\)
"3/8 full. when 12 gallons were added" becomes \(\frac 3 8 x + 12\)
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So our final equation is \[
\frac 3 8 x + 12 = \frac 5 8 x
So 2/8 of the tank was added and that was 12 gallons. 2/8 is 1/4. A quarter of the tank is 12 then the whole tank would be 48 right? So you'll need 36 more gallons.
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