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. What is the number of ships Astrid can build, assuming she receives the maximum possible amount of wood? ships

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Bytelearn · Accepted Answer

Calculate Total Wood: Calculate the total amount of wood Astrid can receive. Astrid receives 4 tons of wood each day and deliveries can continue for 100 days. Total wood = Daily delivery * Number of days Total wood = 4 tons/day * 100 days Total wood = 400 tonsDetermine Ships Quantity: Determine how many ships can be built with the total amount of wood. Each ship requires 40 tons of wood. Number of ships = Total wood / Wood per ship Number of ships = 400 tons / 40 tons/ship Number of ships = 10 shipsCalculate Total Sailors: Calculate the total number of sailors that can be accommodated by the ships. Each ship accommodates 300 sailors. Total sailors = Number of ships * Sailors per ship Total sailors = 10 ships * 300 sailors/ship Total sailors = 3000 sailorsCheck Sailor Requirement: Check if the total number of sailors meets Astrid's requirement. Astrid wants to build enough ships to accommodate at least 2100 sailors. Since 3000 sailors > 2100 sailors, Astrid's requirement is met.

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