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 choice F) m/26 = 12

Work Shown:

mpg = miles per gallon

mpg = miles/gallon

To find the mpg, we divide the number of miles driven over the number of gallons of gas used. For instance, if we can drive 100 miles on 5 gallons of gas, then we get 100/5 = 20 mpg

In this problem, we don't know how many miles we can travel. So m is the placeholder for that number. We know that we use 12 gallons of gas. So we have

mpg = miles/gallon

mpg = m/12

We're told Shannon gets 26 mpg, which allows us to say m/12 = 26

Unfortunately m/12 = 26 doesn't match any of the answers. But we can do a bit of algebra to transform things.

Start off multiplying both sides by 12

m/12 = 26

12*(m/12) = 12*26

m = 12*26

Then divide both sides by 26

m = 12*26

m/26 = 12*26/26

m/26 = 12

which matches with choice F