Sure, let's solve this problem step by step using the multiplier method.
### Step-by-Step Solution:
1. Identify the initial amount and the percentage decrease:
- Initial amount: [tex]\( £56 \)[/tex]
- Percentage decrease: [tex]\( 14\% \)[/tex]
2. Convert the percentage decrease into a decimal:
- To convert a percentage to a decimal, divide by 100.
[tex]\( 14\% = \frac{14}{100} = 0.14 \)[/tex]
3. Calculate the multiplier for the decrease:
- The multiplier for a decrease is found by subtracting the decimal form of the percentage decrease from 1.
[tex]\( \text{Multiplier} = 1 - 0.14 = 0.86 \)[/tex]
4. Apply the multiplier to the initial amount to find the decreased amount:
- Multiply the initial amount by the multiplier.
[tex]\( £56 \times 0.86 = £48.16 \)[/tex]
Therefore, when you decrease £56 by 14% using the multiplier method, the decreased amount is £48.16.
