A factory has a container filled with 35874 liters of cold drink. In how many bottles of 200ml capacity each can it be filled?
Answer
279.9k+ views
Hint: First convert the quantity of cold drink in milliliters, which is given in the problem in the unit of liters, using the relation that one liter is equal to the $1000$ml and then find the number of bottles by dividing the quantity of cold drink by the capacity of one bottle.
Complete step-by-step answer:
It is given that the container is filled with 35874 liters of cold drink.
Convert this quantity of container into milliliters using the relation of liters and milliliters.
We know that 1 liter is equal to the 1000 milliliters. That is,
$1{\text{ litre}} = 1000{\text{ mililitre}}$
Then, $35874$liters of cold drink in milliliters is given as:
${\text{35874 litre}} = 35874 \times 1000{\text{ mililitre}}$
${\text{35874 litre}} = 35874000{\text{ mililitre}}$
So, there are $35874000$milliliters of cold drink contained in the container.
The capacity of the one bottle is$200$ ml, then the number of bottles that can be filled with $35874000$milliliters of cold drink:
The number of bottles filled$ = \dfrac{{35874000}}{{200}}$
Divide the above expression:
Number of bottles filled$ = \dfrac{{358740}}{2}$
Number of bottles filled$ = 179370$
Therefore, $179370$bottles can be filled with $35874000$milliliters of cold drink.
Note: First thing that we need to notice that both the quantities are in the same unit. If the units are different then the answer gets wrong. Either, we can convert both the units in liters or both in milliliters. Therefore, first change each of the units into one unit and then solve the question according to the data provided in the question.
Complete step-by-step answer:
It is given that the container is filled with 35874 liters of cold drink.
Convert this quantity of container into milliliters using the relation of liters and milliliters.
We know that 1 liter is equal to the 1000 milliliters. That is,
$1{\text{ litre}} = 1000{\text{ mililitre}}$
Then, $35874$liters of cold drink in milliliters is given as:
${\text{35874 litre}} = 35874 \times 1000{\text{ mililitre}}$
${\text{35874 litre}} = 35874000{\text{ mililitre}}$
So, there are $35874000$milliliters of cold drink contained in the container.
The capacity of the one bottle is$200$ ml, then the number of bottles that can be filled with $35874000$milliliters of cold drink:
The number of bottles filled$ = \dfrac{{35874000}}{{200}}$
Divide the above expression:
Number of bottles filled$ = \dfrac{{358740}}{2}$
Number of bottles filled$ = 179370$
Therefore, $179370$bottles can be filled with $35874000$milliliters of cold drink.
Note: First thing that we need to notice that both the quantities are in the same unit. If the units are different then the answer gets wrong. Either, we can convert both the units in liters or both in milliliters. Therefore, first change each of the units into one unit and then solve the question according to the data provided in the question.
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