The problem shown in the image asks:

"A shop normally sells hats for £22.50 each. During a sale, the hats are half price. How much would it cost to buy 7 hats during the sale? Give your answer in pounds (£)."

Solution:

1. The normal price of one hat is £22.50.
2. During the sale, the hats are half price, so the new price is: $\text{Sale price} = \frac{22.50}{2} = 11.25 \, \text{pounds per hat}.$
3. To find the total cost of 7 hats during the sale: $\text{Total cost} = 7 \times 11.25 = 78.75 \, \text{pounds}.$

Thus, the total cost to buy 7 hats during the sale is £78.75.

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

Related questions:

1. How would the cost change if the sale price was a 30% discount instead of half price?
2. What would be the total cost for 5 hats at the full price?
3. If a customer had a £10 voucher, how much would they pay for 7 hats during the sale?
4. What would be the cost if the shop offered a "buy 2, get 1 free" deal?
5. How many hats could be purchased for £100 during the sale?

Tip:

When dealing with percentage-based discounts, always convert the percentage to a decimal and multiply the original price by that value to find the sale price.