My airplane is flying the following route: Houston–Los Angeles–Seattle–Minneapolis– Houston. On each leg of the journey, the plane’s fuel usage (expressed as miles per gallon) is 40 – 0.02 * (Average Fuel En Route). Here, Average Fuel En Route = 0.5 * (Initial Fuel En Route + Final Fuel En Route). My plane begins in Houston with 1,000 gallons of fuel. The distance flown on each leg of the journey is as follows:

How many gallons of fuel remain when I return to Houston?

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Leg Houston to Los Angeles Miles 1,200