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The question asks to compare the value for money between two shops selling wire for fencing. The given information is:

- **Shop 1**: 6 meters of wire costs $5.
- **Shop 2**: 5 meters of wire costs $4.

Fiona worked it out using a scaling method, showing that in Shop 1, she multiplied both the cost and length of wire by 4 to get $20 for 24 meters, and in Shop 2, she multiplied both by 5 to get $20 for 25 meters.

Now, the question asks to create double number-lines to show another way to compare the two shops and find which offers better value.

### To solve this, let’s use a unit rate comparison, calculating the cost per meter of wire for both shops, and represent it on double number-lines.

- **Shop 1**:
  - 6 meters for $5 gives a rate of $ \frac{5}{6} $ dollars per meter.
  - This simplifies to approximately $0.83 per meter.
  
- **Shop 2**:
  - 5 meters for $4 gives a rate of $ \frac{4}{5} $ dollars per meter.
  - This simplifies to $0.80 per meter.

### Creating Double Number Lines:
On the number lines:
1. One line will represent the length of wire (in meters), and the other will represent the cost (in dollars).
2. For **Shop 1**, the increments on the cost line will go up by $0.83 per meter.
3. For **Shop 2**, the increments on the cost line will go up by $0.80 per meter.

This will visually show that Shop 2 offers a slightly better deal as the cost per meter is lower.

Would you like me to generate these number lines for you?

Fiona is buying wire for a fence. She wants to know in which shop the wire is better value for money. Shop 1: 6 m of wire costs $5. Shop 2: 5 m of wire costs $4. Fiona's calculations are shown using number lines to compare the value. Create double number-lines to show another way of working out which shop gives a better deal on wire.

This problem compares the value for money when buying wire from two shops, using unit rate comparisons. Learn how to calculate the cost per meter of wire and represent it with double number-lines. Suitable for students in Grades 5-7.

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