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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.
How much wood does Astrid need to accommodate 2100 sailors?
tons

Astrid is in charge of building a new fleet of ships. Each ship requires 4040 tons of wood, and accommodates 300300 sailors. She receives a delivery of 44 tons of wood each day. The deliveries can continue for 100100 days at most, afterwards the weather is too bad to allow them. Overall, she wants to build enough ships to accommodate at least 21002100 sailors.\newlineHow much wood does Astrid need to accommodate 21002100 sailors?\newlinetons

Full solution

Q. Astrid is in charge of building a new fleet of ships. Each ship requires 4040 tons of wood, and accommodates 300300 sailors. She receives a delivery of 44 tons of wood each day. The deliveries can continue for 100100 days at most, afterwards the weather is too bad to allow them. Overall, she wants to build enough ships to accommodate at least 21002100 sailors.\newlineHow much wood does Astrid need to accommodate 21002100 sailors?\newlinetons
  1. Determine Sailor Accommodation: Determine the number of sailors each ship can accommodate and how many sailors Astrid wants to accommodate in total.\newlineAstrid wants to accommodate at least 21002100 sailors, and each ship can accommodate 300300 sailors.
  2. Calculate Number of Ships: Calculate the number of ships needed to accommodate at least 21002100 sailors.\newlineNumber of ships == Total number of sailors to accommodate // Number of sailors per ship\newlineNumber of ships == 21002100 // 300300\newlineNumber of ships == 77
  3. Determine Wood Requirement for One Ship: Determine the amount of wood required for one ship.\newlineEach ship requires 4040 tons of wood.
  4. Calculate Total Wood Needed: Calculate the total amount of wood needed to build the number of ships determined in Step 22.\newlineTotal wood needed = Number of ships * Wood per ship\newlineTotal wood needed = 77 * 4040 tons\newlineTotal wood needed = 280280 tons

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