Subjects algebra

Meal Price Difference

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1. **State the problem:** Sophia wants to buy 2 meals. We need to find the difference between the total prices she would pay at Restaurant A and Restaurant B. 2. **Identify prices and offers:** - Restaurant A: £16.50 each, with "Buy one meal, get another meal half price". - Restaurant B: £16 each, with "Buy two meals, get 15% off the cost of both". 3. **Calculate total cost at Restaurant A:** - Price of first meal: £16.50 - Price of second meal at half price: $16.50 \times \frac{1}{2} = 8.25$ - Total cost at Restaurant A: $16.50 + 8.25 = 24.75$ 4. **Calculate total cost at Restaurant B:** - Price for two meals without discount: $16 \times 2 = 32$ - Discount: $15\%$ of $32 = 0.15 \times 32 = 4.8$ - Total cost at Restaurant B after discount: $32 - 4.8 = 27.2$ 5. **Find the difference between the two totals:** - Difference: $27.2 - 24.75 = 2.45$ **Answer:** Sophia would pay £2.45 more at Restaurant B than at Restaurant A.