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Astrid is in charge of building a new fleet of ships. Each ship requires $40$ tons of wood, and accommodates $300$ sailors. She receives a delivery of $4$ tons of wood each day. The deliveries can continue for $100$ days at most, afterwards the weather is too bad to allow them. Overall, she wants to build enough ships to accommodate at least $2100$ sailors.$\newline$What is the number of ships Astrid can build, assuming she receives the maximum possible amount of wood?$\newline$___________ships