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.


Correctly solved by:

1. David & Judy Dixon Bennettsville, South Carolina
2. Tom Robb John Handley High School
Winchester, Virginia
3. Trey Briggs Mountain View High School
Mountain View, Wyoming
4. Richard K. Johnson La Jolla, California