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. $\newline$ How much wood does Astrid need to accommodate $2100$ sailors?

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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.

\newline

How much wood does Astrid need to accommodate

2100

sailors?

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. $\newline$ Calculation: $2100$ sailors $\div$ $300$ sailors/ship
Determine Number of Ships: Now we perform the calculation from the previous step. $\newline$ Calculation: $2100 \div 300 = 7$ ships
Calculate 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. $\newline$ Calculation: $7$ ships $\times$ $40$ tons/ship
Check Wood Delivery Limit: Now we perform the calculation from the previous step. $\newline$ Calculation: $7 \times 40 = 280$ tons of wood
Check Wood Delivery Limit: Now we perform the calculation from the previous step. $\newline$ Calculation: $7 \times 40 = 280$ 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. $\newline$ Calculation: $4$ tons/day $\times 100$ days
Check Wood Delivery Limit: Now we perform the calculation from the previous step. $\newline$ Calculation: $7 \times 40 = 280$ 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. $\newline$ Calculation: $4$ tons/day $\times 100$ daysNow we perform the calculation from the previous step. $\newline$ Calculation: $4 \times 100 = 400$ tons of wood
Check Wood Delivery Limit: Now we perform the calculation from the previous step. $\newline$ Calculation: $7 \times 40 = 280$ 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. $\newline$ Calculation: $4$ tons/day $\times 100$ daysNow we perform the calculation from the previous step. $\newline$ Calculation: $4 \times 100 = 400$ 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.