Answer:
1250 bottles
Explanation:
To solve this problem we have to work through equivalence between different units.
First of all, we have to keep in mind that:
[tex]1 mL = 1 cm^3[/tex] (1)
So, 1 milliliter is equal to 1 cubic centimetre.
Moreover, we also know that
[tex]1 dm^3 = 1000 cm^3[/tex] (2)
In this problem, we have that the total volume of liquor is
[tex]V=362.5 dm^3[/tex]
First of all, we convert into cubic centimetre using (2):
[tex]V=362.5 \cdot 1000 = 362,500 cm^3[/tex]
And using (1) we convert into millilitres:
[tex]V=362,500 mL[/tex]
Now we know that each bottle can contain a volume of
[tex]V'=290 mL[/tex]
Therefore, the number of bottles that can be filled is:
[tex]N=\frac{V}{V'}=\frac{362,500}{290}=1250[/tex]
