Give the step-by-step reasoning process and then the final answer. Mitch has saved $20000 to finance his boating hobby. A new boat costs $1500 per foot in length. If Mitch needs to keep $500 for a license and registration, and three times that amount for docking fees, how many feet is the longest boat he can buy?
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Mitch needs to keep 500 * 3 = 1500 for docking fees. Thus, he needs to keep 500 + 3 * 500 = $2000 for license, registration, and docking fees. He has 20000 - 2000 = $18000 left to spend on a boat. Therefore, the longest boat he can buy is 18000 / 1500 = 12 feet long.
The final answer: 12.
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