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? Choose 1 answer: (A) 320 (B) 325 (c) 330 (D) 335

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Calculate Jerry's car distance: First, let's calculate the total distance each car can travel on a full tank. For Jerry's car:  Total distance = Tank capacity * Mileage per gallon = 22 gallons * 20 miles per gallonCalculate Kate's car distance: Now, let's perform the calculation for Jerry's car. Total distance for Jerry's car = 22 * 20 = 440 milesFind distance at which fuel is the same: Next, we calculate the total distance Kate's car can travel on a full tank. For Kate's car:  Total distance = Tank capacity * Mileage per gallon = 16.5 gallons * 30 miles per gallonCalculate remaining fuel in Kate's car: Now, let's perform the calculation for Kate's car. Total distance for Kate's car = 16.5 * 30 = 495 milesCalculate distance for remaining fuel in Kate's car: We need to find the distance at which the remaining fuel in both cars will be the same. Since Jerry's car can travel less distance on a full tank, we will find the point at which Jerry's car runs out of fuel and see how much fuel Kate's car has left at that distance.Calculate total distance for both cars: Let's calculate the remaining fuel in Kate's car when Jerry's car has traveled its maximum distance of 440 miles. Since Kate's car gets 30 miles per gallon, we can find out how many gallons she has used by dividing the distance by her mileage per gallon. Gallons used by Kate = Distance traveled by Jerry / Mileage per gallon for Kate = 440 miles / 30 miles per gallonCorrect the total distance calculation: Now, let's perform the calculation for the gallons used by Kate. Gallons used by Kate = 440 / 30 = 14.666... gallons (approximately 14 and 2/3 gallons)Next, we need to find out how much fuel is left in Kate's tank after traveling 440 miles. Remaining fuel in Kate's tank = Initial fuel - Fuel used = 16.5 gallons - 14.666... gallonsNow, let's perform the calculation for the remaining fuel in Kate's tank. Remaining fuel in Kate's tank = 16.5 - 14.666... = 1.833... gallons (approximately 1 and 5/6 gallons)Since Jerry's car is out of fuel at 440 miles, we need to find the distance at which Kate's car will also have 1.833... gallons left in the tank. We will use the remaining fuel and Kate's mileage per gallon to find this distance. Distance for remaining fuel in Kate's car = Remaining fuel * Mileage per gallon for Kate = 1.833... gallons * 30 miles per gallonNow, let's perform the calculation for the distance for the remaining fuel in Kate's car. Distance for remaining fuel in Kate's car = 1.833... * 30 = 55 milesFinally, we add the distance Kate has already traveled (440 miles) to the distance she can travel with the remaining fuel (55 miles) to find the total distance at which both cars will have the same amount of fuel left. Total distance = Distance already traveled + Distance for remaining fuel = 440 miles + 55 milesNow, let's perform the calculation for the total distance. Total distance = 440 + 55 = 495 milesHowever, we made a mistake. The total distance of 495 miles is the maximum distance Kate's car can travel on a full tank, not the distance at which both cars will have the same amount of fuel left. We need to correct this by finding the distance at which Kate's car would have the same amount of fuel left as Jerry's car when it runs out of fuel.

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