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.