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

Identify Sailor Capacity: Identify the number of sailors each ship can accommodate. Let's say each ship accommodates S sailors.Determine Total Sailors: Determine the total number of sailors Astrid wants to accommodate. Let's say she wants to accommodate T sailors.Calculate Ships Needed: Calculate the number of ships needed. Number of ships needed = T / SIdentify Wood Requirement: Identify the amount of wood required for each ship. Let's say each ship requires W tons of wood.Calculate Total Wood: Calculate the total amount of wood needed. Total wood needed = Number of ships needed * WSimplify Expression: Simplify the expression. Total wood needed = (T / S) * WCalculate Total Wood: Plug in the values and calculate. For example, if each ship accommodates 10 sailors, and she wants to accommodate 100 sailors, and each ship requires 5 tons of wood: Total wood needed = (100 / 10) * 5 Total wood needed = 10 * 5 Total wood needed = 50 tons

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Astrid is in charge of building a new fleet of ships. Each ship requires $x$ tons of wood, and accommodates $y$ sailors. She receives a delivery of $z$ tons of wood each day. The deliveries can continue for $n$ days at most, afterwards the weather is too bad to allow them. Overall, she wants to build enough ships to accommodate at least $m$ sailors. How much wood does Astrid need to accommodate $k$ sailors?

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Q. Astrid is in charge of building a new fleet of ships. Each ship requires

x

tons of wood, and accommodates

y

sailors. She receives a delivery of

z

tons of wood each day. The deliveries can continue for

n

days at most, afterwards the weather is too bad to allow them. Overall, she wants to build enough ships to accommodate at least

m

sailors. How much wood does Astrid need to accommodate

k

sailors?

Identify Sailor Capacity: Identify the number of sailors each ship can accommodate. Let's say each ship accommodates $S$ sailors.
Determine Total Sailors: Determine the total number of sailors Astrid wants to accommodate. Let's say she wants to accommodate $T$ sailors.
Calculate Ships Needed: Calculate the number of ships needed. Number of ships needed = $\frac{T}{S}$
Identify Wood Requirement: Identify the amount of wood required for each ship. Let's say each ship requires $W$ tons of wood.
Calculate Total Wood: Calculate the total amount of wood needed. Total wood needed = $\text{Number of ships needed} \times W$
Simplify Expression: Simplify the expression. Total wood needed = $\frac{T}{S}$ * $W$
Calculate Total Wood: Plug in the values and calculate. For example, if each ship accommodates $10$ sailors, and she wants to accommodate $100$ sailors, and each ship requires $5$ tons of wood: Total wood needed = $\left( \frac{100}{10} \right) \times 5$ Total wood needed = $10 \times 5$ Total wood needed = $50$ tons