So first we need to find the amount of gallons that it would take for each vehicle to travel 1,008 miles. We can do this by multiplying and canceling units:
Vehicle A: [tex] \frac{1,008mi}{1}* \frac{gal}{14mi}=72gal [/tex]
Vehicle B: [tex] \frac{1,008mi}{1}*\frac{gal}{36mi}=28gal [/tex]
So we found that Vehicle A needs 72 gallons to make the trip, and Vehicle B needs 28 gallons to make the trip.
Let's find the difference:
[tex] 72-28=44 [/tex]
Therefore, Vehicle A needs 44 more gallons of gasoline than Vehicle B to make the trip.