Subjects algebra

Pizza Sales

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1. **State the problem:** A restaurant sells cheese pizzas originally priced at 12 each, selling 250 pizzas daily. A 20% discount is applied, and sales increase by 18%. We need to find how much more or less money the restaurant makes daily after the promotion. 2. **Calculate the original daily revenue:** $$\text{Original revenue} = 12 \times 250 = 3000$$ 3. **Calculate the new price after 20% discount:** $$\text{Discount} = 20\% \times 12 = 0.20 \times 12 = 2.4$$ $$\text{New price} = 12 - 2.4 = 9.6$$ 4. **Calculate the new quantity sold after 18% increase:** $$\text{Increase in sales} = 18\% \times 250 = 0.18 \times 250 = 45$$ $$\text{New quantity} = 250 + 45 = 295$$ 5. **Calculate the new daily revenue:** $$\text{New revenue} = 9.6 \times 295 = 2832$$ 6. **Calculate the difference in revenue:** $$\text{Difference} = 2832 - 3000 = -168$$ 7. **Interpretation:** The restaurant makes 168 less each day after the promotion. **Final answer:** Decrease by 168