Answer: 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
