Question

A vessel has $4{\text{ litres and 500 ml}}$ of curd. In how many glasses, each of $25{\text{ml}}$ capacity can be filled?

Answer 1

Hint: Here we are given the total capacity of curd and the capacity of each glass. So here simply we need to proceed by unitary method. For example: If we need to put $20{\text{ml}}$ water into the glasses, each of $10{\text{ml}}$ capacity then we can say that we need two glasses to do it which can be calculated by $\dfrac{{{\text{total capacity of the curd in vessel}}}}{{{\text{capacity of each glass}}}}$$ = \dfrac{{20}}{{10}} = 2$
Hence we can solve this problem similarly.

Complete step-by-step answer:
Here we are given the capacity of the curd which is contained in the vessel and we need to transfer it into the glasses of $25{\text{ml}}$ capacity. Here we need to calculate the number of glasses which we be needed to transfer whole curd into the glasses. Here we are given the total capacity of curd and the capacity of each glass. So here simply we need to proceed by unitary method.
So we are given total capacity of curd$ = 4{\text{ litres and 500 ml}}$
Capacity of each glass$ = 25{\text{ml}}$
Here we need to convert both the capacities in the same units. So we will convert the capacity of the vessel in ${\text{ml}}$
We know that $1{\text{ litre}} = 1000{\text{ ml}}$
So we have $4{\text{ litres and 500 ml}}$ which will be $(4 \times 1000 + 500){\text{ml}}$$ = 4500{\text{ml}}$
So total capacity of curd in vessel$ = 4500{\text{ml}}$
Capacity of each glass$ = 25{\text{ml}}$
We have to find the number of glasses that will be used to transfer the whole curd. One glass can have ${\text{25ml}}$ but we have $4500{\text{ml}}$
So number of glasses required$ = $$\dfrac{{{\text{total capacity of the curd in vessel}}}}{{{\text{capacity of each glass}}}}$
Therefore number of glasses$ = \dfrac{{4500{\text{ ml}}}}{{25{\text{ ml}}}} = 180$
So we can say that $180$ glasses can be filled to completely transfer $4{\text{ litres and 500 ml}}$ of curd from the vessel.

Note: Here student must take care that while dividing our units must be same which means either both the numerator and the denominator must be in ${\text{litres or ml}}$
Here we have done all the questions with the unit ${\text{ml}}$ but we can do it by using the unit ${\text{litre}}$ also.