Question

A bucket contains $20\frac{1}{4}$ litres of water. A small jug has a capacity of $\frac{3}{4}$ litre. How many times the jug has to be filled with water from the bucket to get it emptied?

Answer 1

Capacity of the small jug = $\frac{3}{4}$ L
Capacity of the bucket = $20\frac{1}{4}$ L = $\frac{81}{4}$ L
∴ Required number of small jugs = $\left(\frac{81}{4}÷\frac{3}{4}\right)$
= $\left(\frac{81}{4}\times \frac{4}{3}\right)$ [∵ Reciprocal of $\frac{3}{4}$ = $\frac{4}{3}$]
= $\left(\frac{81}{3}\right)$ = 27

Hence, the small jug has to be filled 27 times to empty the water from the bucket.