How many times a 500ml container will be used to measure 11500ml petrol?
Answer
644.7k+ views
Hint: To find the number of times the small container used to measure the large quantities of petrol, we will divide the total quantity of petrol by the capacity of the container given, by considering their units of their measure.
Complete step by step solution:
Capacity of the given container is 500ml and
That container is used to measure the 11500ml of petrol.
To Find the number of times a container of capacity 500ml will be used to measure 1500ml of petrol.
We will divide the measure of petrol by the capacity of the given container.
Mathematically, the number of times is equal to the ratio of measure of petrol to the capacity of the container given.
Now, substitute the values of the measure of petrol and the capacity of the given container, or divide the amount of petrol by the capacity of the container, which is given a number of times.
Thus, number of times is given by,
$ = \dfrac{{11500{\text{ }}ml}}{{500{\text{ }}ml}}$
As units in the numerator and denominator are the same, so cancel out the units from the numerator and denominator.
Perform division operation to find the number of times.
$
= \dfrac{{11500{\text{ }}}}{{500}} \\
= 23 \\
$
Hence, the container of capacity $500ml$ will be used 23 times to measure the $11500ml$ of petrol.
Note: First observe if the units of the matter are given in the same format or not, if yes then there is no need to convert the units to any other units but if they are not same, then the unit of one measure will have to be converted with respect to the other measure. Also, the result of the question, the number of times used to measure is always unitless.
Complete step by step solution:
Capacity of the given container is 500ml and
That container is used to measure the 11500ml of petrol.
To Find the number of times a container of capacity 500ml will be used to measure 1500ml of petrol.
We will divide the measure of petrol by the capacity of the given container.
Mathematically, the number of times is equal to the ratio of measure of petrol to the capacity of the container given.
Now, substitute the values of the measure of petrol and the capacity of the given container, or divide the amount of petrol by the capacity of the container, which is given a number of times.
Thus, number of times is given by,
$ = \dfrac{{11500{\text{ }}ml}}{{500{\text{ }}ml}}$
As units in the numerator and denominator are the same, so cancel out the units from the numerator and denominator.
Perform division operation to find the number of times.
$
= \dfrac{{11500{\text{ }}}}{{500}} \\
= 23 \\
$
Hence, the container of capacity $500ml$ will be used 23 times to measure the $11500ml$ of petrol.
Note: First observe if the units of the matter are given in the same format or not, if yes then there is no need to convert the units to any other units but if they are not same, then the unit of one measure will have to be converted with respect to the other measure. Also, the result of the question, the number of times used to measure is always unitless.
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