Question

A vessel has 13 litres 200 mL of fruit juice. In how many glasses each of capacity 60 mL can it be filled?

Answer 1

Hint: The total quantity of fruit juice in a vessel is given in litres and mL. We will convert the litres into mL. We have to distribute this quantity into a certain number of glasses which have equal capacity. So, we will divide the total quantity of fruit juice by the capacity of one glass. Then we will get the number of glasses needed to distribute the total quantity.

Complete step by step answer:
The total quantity of fruit juice in a vessel is given to be 13 litres 200 mL. We know that 1 litre is 1000 mL. So, we have $13\text{ litres = 13}\times \text{1000 mL = 13,000 mL}$. Therefore, the total quantity of fruit juice is
$13,000+200=13,200\text{ mL}$
We know that each glass has equal capacity, which is given as 60 mL. So, we can calculate the number of glasses required in the following manner,
$\text{number of glasses = }\dfrac{\text{total quantity of juice}}{\text{capacity of each glass}}$
Substituting the values of the total volume of fruit juice and the capacity of each glass, we get
$\text{number of glasses = }\dfrac{13200}{60}=220$.
Therefore, 220 glasses of 60 mL capacity each, are required to distribute the total volume of fruit juice.

Note:
We did the conversion from litres to mL of the total quantity of the fruit juice for convenience. It is important to understand the relation between the volumes or capacities of two vessels, in this case, the vessel and the glass. Establishing this relation, the calculation for the number of smaller vessels needed to distribute the contents of the bigger vessel became straight-forward.