Omar owns a pickup truck and a moped. He can afford 12 gal of gasoline to be split between the truck and the moped. Omar's truck gets 20 mpg and, with the fuel currently in the tank, can hold at most an additional 10 gal of gas. His moped gets 100 mpg and can hold at most 3 gal of gas. How many gallons of gasoline should each vehicle use if Omar wants to travel as far as possible on the 12 gal of gas? What is the maximum number of miles that he can travel?

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20 mpg 100 mpg