Subjects algebra

Meal Tax Tip 293Df7

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1. **Problem Statement:** Part A: Calculate the total bill including an 8% meals tax on a food and beverage cost of 25.30. Part B: Given the total lunch cost after tip is 32.24, find the percentage tip given. 2. **Formulas and Rules:** - To find total cost including tax: $$\text{Total} = \text{Cost} + (\text{Cost} \times \text{Tax Rate})$$ - To find tip percentage: $$\text{Tip Percentage} = \frac{\text{Tip Amount}}{\text{Original Cost + Tax}} \times 100$$ 3. **Part A Calculation:** - Cost = 25.30 - Tax rate = 8% = 0.08 Calculate tax amount: $$\text{Tax} = 25.30 \times 0.08 = 2.024$$ Calculate total bill: $$\text{Total} = 25.30 + 2.024 = 27.324$$ Round to nearest cent: $$27.324 \approx 27.32$$ 4. **Part B Calculation:** - Total after tip = 32.24 - Total before tip = 27.32 (from Part A) Calculate tip amount: $$\text{Tip} = 32.24 - 27.32 = 4.92$$ Calculate tip percentage: $$\text{Tip Percentage} = \frac{4.92}{27.32} \times 100$$ Show intermediate cancellation: $$\frac{\cancel{4.92}}{\cancel{27.32}} \times 100 = 0.18 \times 100 = 18\%$$ **Final Answers:** - Part A: Total bill is **27.32** - Part B: Tip percentage is **18%**