a) 10 jars each with a capacity of $$ 5 \frac{1}{2} $$ litres are required to fill a drum completel Find the capacity of the drum in litres. b) 18 litres of milk is required to distribute equally among all the students a hostel. If each student gets $$ \frac{3}{8} $$ litre of milk, find the number of students the hostel.

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Let's solve each part of the problem step by step.

### Part a:
We need to find the capacity of the drum in litres when 10 jars, each with a capacity of $$ 5 \frac{1}{2} $$ litres, are used to fill it completely.

1. First, convert $$ 5 \frac{1}{2} $$ litres to an improper fraction:
   $$
   5 \frac{1}{2} = 5 + \frac{1}{2} = \frac{10}{2} + \frac{1}{2} = \frac{11}{2} \text{ litres}
   $$

2. Now, calculate the total capacity of the 10 jars:
   $$
   \text{Total capacity} = 10 \times \frac{11}{2} = \frac{110}{2} = 55 \text{ litres}
   $$

Thus, the capacity of the drum is **55 litres**.

### Part b:
We need to find the number of students in the hostel if 18 litres of milk is distributed equally among them, with each student receiving $$ \frac{3}{8} $$ litre of milk.

1. Let the number of students be $$ n $$. The total amount of milk distributed is given by:
   $$
   n \times \frac{3}{8} = 18
   $$

2. To find $$ n $$, we can rearrange the equation:
   $$
   n = \frac{18}{\frac{3}{8}} = 18 \times \frac{8}{3}
   $$

3. Now, calculate $$ n $$:
   $$
   n = \frac{18 \times 8}{3} = \frac{144}{3} = 48
   $$

Thus, the number of students in the hostel is **48**.
a) The capacity of the drum is 55 litres. b) The number of students in the hostel is 48.

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