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? $\newline$ tons

Full solution

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?

\newline

tons

Determine Sailor Accommodation: Determine the number of sailors each ship can accommodate and how many sailors Astrid wants to accommodate in total. $\newline$ Astrid wants to accommodate at least $2100$ sailors, and each ship can accommodate $300$ sailors.
Calculate Number of Ships: Calculate the number of ships needed to accommodate at least $2100$ sailors. $\newline$ Number of ships $=$ Total number of sailors to accommodate $/$ Number of sailors per ship $\newline$ Number of ships $=$ $2100$ $/$ $300$ $\newline$ Number of ships $=$ $7$
Determine Wood Requirement for One Ship: Determine the amount of wood required for one ship. $\newline$ Each ship requires $40$ tons of wood.
Calculate Total Wood Needed: Calculate the total amount of wood needed to build the number of ships determined in Step $2$ . $\newline$ Total wood needed = Number of ships $*$ Wood per ship $\newline$ Total wood needed = $7$ $*$ $40$ tons $\newline$ Total wood needed = $280$ tons