Answer :
Certainly! Let's solve this step-by-step:
1. Identify the total capacity of the bucket: The bucket has a total capacity of 20 litres.
2. Understand the fraction of the bucket filled with milk: The bucket is filled to [tex]\( \frac{3}{5} \)[/tex] of its total capacity with milk.
3. Calculate the amount of milk in the bucket:
To find the amount of milk, we need to calculate [tex]\( \frac{3}{5} \)[/tex] of the total capacity (20 litres).
4. Compute the amount of milk:
[tex]\[ \text{Amount of milk} = \frac{3}{5} \times 20 \text{ litres} \][/tex]
5. Using simple fraction multiplication:
[tex]\[ \text{Amount of milk} = 12 \text{ litres} \][/tex]
Therefore, the amount of milk in the bucket is [tex]\( 12 \text{ litres} \)[/tex].
6. Match this with the given answer choices:
(a) 12 litres [tex]\( \square \)[/tex]
(b) 20 litres [tex]\( \square \)[/tex]
(c) 15 litres [tex]\( \square \)[/tex]
(d) 9 litres [tex]\( \square \)[/tex]
The correct answer is (a) 12 litres.
1. Identify the total capacity of the bucket: The bucket has a total capacity of 20 litres.
2. Understand the fraction of the bucket filled with milk: The bucket is filled to [tex]\( \frac{3}{5} \)[/tex] of its total capacity with milk.
3. Calculate the amount of milk in the bucket:
To find the amount of milk, we need to calculate [tex]\( \frac{3}{5} \)[/tex] of the total capacity (20 litres).
4. Compute the amount of milk:
[tex]\[ \text{Amount of milk} = \frac{3}{5} \times 20 \text{ litres} \][/tex]
5. Using simple fraction multiplication:
[tex]\[ \text{Amount of milk} = 12 \text{ litres} \][/tex]
Therefore, the amount of milk in the bucket is [tex]\( 12 \text{ litres} \)[/tex].
6. Match this with the given answer choices:
(a) 12 litres [tex]\( \square \)[/tex]
(b) 20 litres [tex]\( \square \)[/tex]
(c) 15 litres [tex]\( \square \)[/tex]
(d) 9 litres [tex]\( \square \)[/tex]
The correct answer is (a) 12 litres.
