A pilot is calculating the weight and balance for a flight. The aircraft's empty weight is 1,200 lbs with an empty weight center of gravity (CG) of 70.0 inches. The pilot (170 lbs) is at an arm of 35.0 inches, and a passenger (130 lbs) is at an arm of 60.0 inches. Baggage (50 lbs) is in a compartment with an arm of 95.0 inches. How much usable fuel (in gallons) can be added if the maximum gross weight is 2,200 lbs and the fuel arm is 80.0 inches? (Avgas weighs 6 lbs/gallon)

Correct answer: D. 100 gallons

First, calculate the current total weight without fuel: Empty weight (1200 lbs) + Pilot (170 lbs) + Passenger (130 lbs) + Baggage (50 lbs) = 1550 lbs. Next, determine the remaining weight capacity for fuel: Maximum gross weight (2200 lbs) - Current total weight (1550 lbs) = 650 lbs. Finally, convert the remaining weight capacity into gallons of fuel: 650 lbs / 6 lbs/gallon = 108.33 gallons. The closest option is 100 gallons. Let's check if 100 gallons is within limits. 1550 lbs + (100 gal * 6 lbs/gal) = 1550 + 600 = 2150 lbs. This is within the 2200 lbs max gross weight. The question asks 'how much usable fuel...can be added', so 100 gallons is a possible answer. The exact calculation is 108.33 gallons, so 100 gallons is the largest practical option without exceeding the limit.