10 jars, each with a capacity of [tex]\( 5 \frac{1}{2} \)[/tex] liters, are required to fill a drum completely. Find the capacity of the drum in liters.



Answer :

To find the capacity of the drum in litres, we need to follow a step-by-step approach:

1. Understand the given information:
- There are 10 jars.
- Each jar has a capacity of [tex]\(5 \frac{1}{2}\)[/tex] litres.

2. Convert the mixed number to an improper fraction or a decimal:
- The capacity of each jar is [tex]\(5 \frac{1}{2}\)[/tex] litres.
- We convert [tex]\(5 \frac{1}{2}\)[/tex] to a decimal:
[tex]\[ 5 + \frac{1}{2} = 5.5 \text{ litres} \][/tex]

3. Calculate the total capacity of the drum:
- Since there are 10 jars, and each jar has a capacity of 5.5 litres, we multiply the number of jars by the capacity of each jar:
[tex]\[ \text{Total capacity} = \text{Number of jars} \times \text{Capacity of each jar} \][/tex]
[tex]\[ \text{Total capacity} = 10 \times 5.5 \][/tex]

4. Perform the multiplication:
- Multiply 10 by 5.5:
[tex]\[ 10 \times 5.5 = 55.0 \][/tex]

Therefore, the capacity of the drum is 55.0 litres.