Jerry has a large car which holds 22 gallons of fuel and gets 20 miles per gallon. Kate has a smaller car which holds 16.5 gallons of fuel and gets 30 miles per gallon. If both cars have a full tank of fuel now and drive the same distance, in how many miles will the remaining fuel in each tank be the same?

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Calculate Total Distance: Calculate the total distance Jerry's car can travel on a full tank. Jerry's car gets 20 miles per gallon and holds 22 gallons. Total distance = 20 miles/gallon * 22 gallons = 440 milesCalculate Total Distance: Calculate the total distance Kate's car can travel on a full tank. Kate's car gets 30 miles per gallon and holds 16.5 gallons. Total distance = 30 miles/gallon * 16.5 gallons = 495 milesDetermine Difference: Determine the difference in the total distance each car can travel. Difference = 495 miles - 440 miles = 55 milesCalculate Fuel Used: Calculate the amount of fuel each car uses to travel the 55-mile difference. For Jerry's car: 55 miles / 20 miles per gallon = 2.75 gallons For Kate's car: 55 miles / 30 miles per gallon = 1.8333... gallonsSubtract Remaining Fuel: Subtract the used fuel from each car's full tank to find the remaining fuel when they have traveled the same distance. For Jerry's car: 22 gallons - 2.75 gallons = 19.25 gallons remaining For Kate's car: 16.5 gallons - 1.8333... gallons = 14.6666... gallons remainingFind Equal Remaining Fuel: Realize a mistake has been made. The question asks for the point at which both cars have the same amount of fuel remaining, not when they have traveled the distance equal to the difference in their total capacities. We need to find a distance where the remaining fuel in both tanks is equal after driving the same distance.

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