Final answer:
To solve the problem, calculate the total wood over 100 days, determine the number of ships that can be built, and verify if the ships can accommodate at least 2,100 sailors. The calculations show Astrid can build enough ships to meet the sailor accommodation requirement.
Step-by-step explanation:
The student's question pertains to the use of resources (wood) over a set period (100 days) to build a fleet of ships that can accommodate a minimum number of sailors (2,100). This is a mathematical problem involving division, multiplication, and inequalities.
Firstly, we need to calculate the total amount of wood that can be received within the 100-day period. Since 444 tons of wood are delivered each day, we multiply 444 tons by 100 days to get the total wood available, which is 44,400 tons.
Next, we calculate the number of ships Astrid can build with the available wood. Each ship requires 40 tons, so we divide the total wood by the wood requirement per ship: 44,400 tons ÷ 40 tons/ship = 1,110 ships.
Then we determine if the number of ships is sufficient to accommodate at least 2,100 sailors. Each ship accommodates 300 sailors, so we multiply the number of ships by the sailor capacity per ship: 1,110 ships × 300 sailors/ship = 333,000 sailors.
Since 333,000 sailors are greater than the minimum requirement of 2,100 sailors, Astrid can build enough ships to accommodate at least 2,100 sailors.