Subjects algebra

Meal Price Difference 145Cc4

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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. **Restaurant A pricing:** Each meal costs £16.50. The deal is "Buy one meal, get another meal half price." 3. **Calculate total cost at Restaurant A:** - Price of first meal: £16.50 - Price of second meal at half price: \( \frac{1}{2} \times 16.50 = 8.25 \) - Total cost: \( 16.50 + 8.25 = 24.75 \) 4. **Restaurant B pricing:** Each meal costs £16. The deal is "Buy two meals, get 15% off the cost of both." 5. **Calculate total cost at Restaurant B:** - Price for two meals without discount: \( 2 \times 16 = 32 \) - Discount amount: \( 15\% \times 32 = 0.15 \times 32 = 4.8 \) - Total cost after discount: \( 32 - 4.8 = 27.2 \) 6. **Find the difference between the two total prices:** - Difference: \( 27.2 - 24.75 = 2.45 \) 7. **Answer:** Sophia would pay £2.45 more at Restaurant B than at Restaurant A.