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%**
Meal Tax Tip 293Df7
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