A 20-litre bucket is [tex]\(\frac{3}{4}\)[/tex] full of milk. The amount of milk in the bucket is:

A. 15 litres [tex]\(\square\)[/tex]
B. 6 litres [tex]\(\Pi\)[/tex]
C. 25 litres (Incorrect option)
D. 9 litres



Answer :

Sure, let's solve this step by step.

1. Understand the problem:
You have a bucket with a total capacity of 20 litres, and it is filled to 3/4 of its capacity with milk.

2. Interpret the fraction:
3/4 means you have three parts out of a total of four parts filled with milk.

3. Calculate the amount of milk:
To find how much milk is in the bucket, you need to multiply the total capacity of the bucket by 3/4.

[tex]\[ \text{Amount of milk} = 20 \, \text{litres} \times \frac{3}{4} \][/tex]

4. Perform the multiplication:
Multiply 20 (total bucket capacity) by 3/4 (fraction filled):

[tex]\[ 20 \times \frac{3}{4} = 20 \times 0.75 = 15 \, \text{litres} \][/tex]

So, the amount of milk in the bucket is 15 litres. Therefore, the correct answer is:

[tex]\[ 15 \, \text{litres} \][/tex]

None of the provided options (12 litres, 6 litres, 24 litres, 9 litres) match the correct answer, which should be 15 litres.

Option A

The amount of milk in the bucket is 15 litres.

The amount of milk in the bucket is:

20 litres * 3/4 = 15 litres

Therefore, the correct answer is Option A: 15 litres.