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?

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Calculate Sailor Requirement: First, we need to determine how many ships are required to accommodate at least 2100 sailors. Since each ship can accommodate 300 sailors, we divide the total number of sailors by the number of sailors per ship. Calculation: 2100 sailors ÷ 300 sailors/shipDetermine Number of Ships: Now we perform the calculation from the previous step. Calculation: 2100 ÷ 300 = 7 shipsCalculate Wood Requirement: Next, we need to calculate the total amount of wood required to build the 7 ships. Since each ship requires 40 tons of wood, we multiply the number of ships by the amount of wood per ship. Calculation: 7 ships × 40 tons/shipCheck Wood Delivery Limit: Now we perform the calculation from the previous step. Calculation: 7 × 40 = 280 tons of woodFinally, we need to check if Astrid can receive enough wood within the 100-day limit. Since she receives 4 tons of wood each day, we multiply the daily delivery by the number of days. Calculation: 4 tons/day × 100 daysNow we perform the calculation from the previous step. Calculation: 4 × 100 = 400 tons of woodWe compare the total amount of wood needed (280 tons) with the amount of wood that can be delivered in 100 days (400 tons) to ensure that the deliveries are sufficient to build the required number of ships.

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