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To solve the problem, we need to calculate the total cost of hiring a car from both companies (A and B), and then determine which is cheaper.

### Information given:
- Matilda needs the car for **7 days** and will drive **950 miles**.
- **Company A**: 
  - Daily charge = £20
  - Cost per mile = 50p (or £0.50)
- **Company B**:
  - Daily charge = £40
  - Cost per mile = 30p (or £0.30)

### Step 1: Calculate the total cost for **Company A**.
- **Daily charge for 7 days**: 
  \( 20 \times 7 = 140 \, \text{pounds} \)
- **Cost per mile for 950 miles**: 
  \( 0.50 \times 950 = 475 \, \text{pounds} \)
- **Total cost for Company A**: 
  \( 140 + 475 = 615 \, \text{pounds} \)

### Step 2: Calculate the total cost for **Company B**.
- **Daily charge for 7 days**: 
  \( 40 \times 7 = 280 \, \text{pounds} \)
- **Cost per mile for 950 miles**: 
  \( 0.30 \times 950 = 285 \, \text{pounds} \)
- **Total cost for Company B**: 
  \( 280 + 285 = 565 \, \text{pounds} \)

### Conclusion:
The cheaper company is **Company B**, and the total cost to hire the car from them is **£565**.

Would you like further clarification on any steps or more details? 

Here are 5 related questions to expand on the topic:
1. How would the cost change if Matilda needed the car for 10 days?
2. What would be the cost for driving only 500 miles with Company A?
3. How much would Matilda save if she chose Company B instead of Company A?
4. What if Company A offered a discount of 10% on the daily charge, how would this affect the total cost?
5. How would the costs compare if Matilda drove 1200 miles instead?

**Tip:** When comparing costs, always look at both fixed (daily) and variable (per mile) charges to get the most accurate comparison.

The prices of hiring a car from two different companies are shown. Matilda wants to hire a car to drive 950 miles in 7 days. How much would it cost her to hire a car from the cheaper company? Give your answer in pounds (£).

Solve a real-world cost comparison problem to determine the cheaper option for hiring a car over 7 days and driving 950 miles. This problem helps develop arithmetic skills in cost calculations for grades 6-8.

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