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?
Q. 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?
Calculate Total Wood: Question Prompt: How many ships can Astrid build to accommodate at least 2100 sailors, given the wood delivery constraints?
Determine Number of Ships: 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 daysTotal wood =4 tons/day ×100 daysTotal wood =400 tons
Calculate Total Sailors: Determine the number of ships that can be built with the total amount of wood. Each ship requires 40 tons of wood. Number of ships =Wood per shipTotal wood Number of ships =40 tons/ship400 tons Number of ships =10 ships
Check Sailor Requirement: Calculate the total number of sailors that can be accommodated by the ships built.Each ship accommodates 300 sailors.Total sailors = Number of ships × Sailors per shipTotal sailors =10 ships ×300 sailors/shipTotal sailors =3000 sailors
Check Sailor Requirement: Calculate the total number of sailors that can be accommodated by the ships built. Each ship accommodates 300 sailors. Total sailors = Number of ships × Sailors per ship Total sailors =10 ships ×300 sailors/ship Total sailors =3000 sailors Check if the number of sailors that can be accommodated meets the requirement. Astrid wants to build enough ships to accommodate at least 2100 sailors. Since 3000 sailors > 2100 sailors, the requirement is met.
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