Let's solve the given problem step by step.
Problem: A 20 m length of rope costs £14.40.
Part (a): Calculate the cost of 12 m of rope.
Part (b): What is the cost of the rope, per metre?
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### Part (a): Calculate the cost of 12 m of rope
To find the cost of 12 meters of rope, first, we need to determine the cost per meter of the rope.
### Part (b): Calculate the cost of the rope per metre
1. Calculate the cost per meter of the rope:
- We know the total cost for 20 meters is £14.40.
- To find the cost per meter, divide the total cost by the total length.
[tex]\[
\text{Cost per meter} = \frac{\text{Total cost}}{\text{Total length}} = \frac{£14.40}{20 \text{ meters}} = £0.72 \text{ per meter}
\][/tex]
2. Using the cost per meter to find the cost for 12 meters:
- Multiply the cost per meter by the length needed.
[tex]\[
\text{Cost for 12 meters} = \text{Cost per meter} \times \text{Length needed} = £0.72 \text{ per meter} \times 12 \text{ meters} = £8.64
\][/tex]
### Summary of Results:
- Part (a): The cost of 12 meters of rope is £8.64.
- Part (b): The cost of the rope per meter is £0.72.
Therefore:
- The cost to buy 12 meters of rope is £8.64.
- The cost of the rope per meter is £0.72.
