https://file.aiquickdraw.com/mathbot/file/1727003099335pplcwptx.jpg

Let's break down the question shown in the image.

The prices for hiring a car from two companies are provided:

- **Company A**:
  - Daily charge: £20
  - Cost per mile: 50p (which is £0.50 per mile)

- **Company B**:
  - Daily charge: £40
  - Cost per mile: 30p (which is £0.30 per mile)

Matilda wants to hire a car to drive **950 miles** over **7 days**.

We need to calculate the total cost for each company and find out which one is cheaper.

### **Cost for Company A**:
1. **Daily charge for 7 days**:  
   \( 7 \, \text{days} \times 20 \, \text{£/day} = 140 \, £ \)
   
2. **Cost per mile for 950 miles**:  
   \( 950 \, \text{miles} \times 0.50 \, \text{£/mile} = 475 \, £ \)
   
3. **Total cost for Company A**:  
   \( 140 \, £ + 475 \, £ = 615 \, £ \)

### **Cost for Company B**:
1. **Daily charge for 7 days**:  
   \( 7 \, \text{days} \times 40 \, \text{£/day} = 280 \, £ \)
   
2. **Cost per mile for 950 miles**:  
   \( 950 \, \text{miles} \times 0.30 \, \text{£/mile} = 285 \, £ \)
   
3. **Total cost for Company B**:  
   \( 280 \, £ + 285 \, £ = 565 \, £ \)

### Conclusion:
- **Company A total**: £615
- **Company B total**: £565

**Company B** is cheaper, and the total cost for Matilda would be **£565**.

Would you like a further breakdown of any steps, or do you have any questions?

Here are 5 related questions:
1. What would the total cost be if Matilda drove 1200 miles instead?
2. How does the cost change if she hires the car for only 5 days instead of 7?
3. What is the maximum distance Matilda can drive for Company A to still be cheaper than Company B?
4. How does the total cost change if both companies reduce their daily charge by £5?
5. If Company B increases its cost per mile to 40p, which company would then be cheaper?

**Tip**: Always convert costs into a single unit (e.g., £) before performing any calculations for consistency.

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 (£).

Learn how to calculate the total cost of hiring a car from two companies based on daily charges and cost per mile. Matilda wants to hire a car to drive 950 miles over 7 days. Find out which company offers the cheaper option. Suitable for students in Grades 7-9.

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