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?

it requires 280 ton of wood

Step-by-step explanation:

one ship can accommodate 300 sailors so for 2100 sailors you need

2100/300

7 ships

and as I ship require 40 tons of wood then 7*40

280 tons

then

he can get 4 ton of wood per day

then

280/4

70 days

therefore he needs wood for 70 days to accommodate 2100 sailors

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have