Question

How many \[250\] ml bottles can be filled from \[400\] litres of water?

Answer 1

Hint: Using the relation that \[1\] litre is equal to \[1000\] ml, we will first convert the quantity of the water in millilitres, which is given in the problem in the unit of litres. Then we will find the number of \[250\] ml bottles that can be filled from \[400\] litres of water by dividing the quantity of water by the capacity of one bottle.

Complete step by step solution:
In the given question, we require the number of bottles that can be filled from \[400\] litres of water.
We will convert this quantity of water from litres to millilitres using the relation between litres and millilitres.
As we know that \[1\] litre is equal to \[1000\] ml i.e., \[1{\text{ litre}} = 1000{\text{ }}\operatorname{millilitres} \].
Then, \[400\] litres of water in millilitres is given as:
\[ \Rightarrow {\text{400 litre}} = \left( {400 \times 1000} \right){\text{ }}\operatorname{millilitres} \]
On simplification, we get
\[ \Rightarrow {\text{400 litre}} = 400000{\text{ }}\operatorname{millilitres} \]
So, there is \[400000{\text{ }}\operatorname{millilitres} \] of water.
Now, the capacity of one bottle is \[250{\text{ ml}}\], then the number of bottles that can be filled with \[400000{\text{ }}\operatorname{millilitres} \] of water is given as:
\[ \Rightarrow {\text{The number of bottles filled}} = \dfrac{{400000{\text{ ml}}}}{{250{\text{ ml}}}}\]
On dividing the above expression, we get
\[ \Rightarrow {\text{The number of bottles filled}} = 1600\]
Therefore, \[1600\] bottles of \[250{\text{ ml}}\] can be filled from \[400\] litres of water.

Note:
Here, the first thing that we need to notice is that both the quantities should be in the same units otherwise the answer gets wrong. If the given quantities are in different units, then we need to first change each of the units into one unit then solve the question according to the data provided in the question. Either we can convert both the units in litres or both in millilitres.