A gas station in the town of Loveland sells gas at $3.76 per gallon while the stations here in Fort Collins sell gas at $3.99 per gallon. If Loveland is 10.5 miles from Fort Collins and my car gets 32 mpg, how many gallons of gas would I need to buy in order to "break even," i.e., to drive from Fort Collins to Loveland and back and spend the same amount for gas as I would if I bought my gas in Fort Collins?

Solution to the Problem: I would need to buy 10.739 gallons of gas to break even. My car uses 21/32 gallons of gas to get to Loveland and back. So, it costs 21/32 x $3.76 = $2.47 just to drive down and back. Since there is a difference of 23 cents per gallon, I would have to buy 2.47 / .23 = 10.739 gallons to break even.

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