Certainly! Let's solve this problem step by step.
1. Understanding the Given Information:
- We are told that when the pool is [tex]\(\frac{1}{4}\)[/tex] full, it holds 4000 litres of water.
2. Setting Up the Problem:
- We need to find out how much water the pool would hold when it is completely full (which is 1 or [tex]\(\frac{4}{4}\)[/tex]).
3. Relationship Between Fractions and Capacity:
- Since the pool is [tex]\(\frac{1}{4}\)[/tex] full with 4000 litres, this means each quarter of the pool holds 4000 litres.
4. Calculating the Full Capacity:
- To find the full capacity, we need to determine how many quarters make up the whole pool. This is straightforward since a whole is equivalent to 4 quarters.
5. Multiplying the Amount:
- Hence, the full capacity of the pool is 4 times the amount of water when it is [tex]\(\frac{1}{4}\)[/tex] full.
- So, we multiply 4000 litres by 4.
[tex]\[
\text{Full Capacity} = 4000 \, \text{litres} \times 4 = 16000 \, \text{litres}
\][/tex]
Therefore, when the pool is filled to capacity, it will hold 16000 litres of water.
