1. **State the problem:**
Bob wants to buy three shirts priced at $49.96 each. The store offers a discount: buy two shirts, get 50% off the third shirt. After applying the discount, a 7.1% tax is added to the total. We need to find the average cost per shirt including tax.
2. **Formula and rules:**
- Total price before tax = price of 2 shirts + 50% of the 3rd shirt price.
- Tax amount = total price before tax \times 7.1\% = total price before tax \times 0.071.
- Total price after tax = total price before tax + tax amount.
- Average cost per shirt = total price after tax \div 3.
3. **Calculate total price before tax:**
Price per shirt = $49.96
Discount on third shirt = 50\% of $49.96 = $49.96 \times 0.5 = $24.98
Total before tax = $49.96 + $49.96 + $24.98 = $124.90
4. **Calculate tax amount:**
Tax = $124.90 \times 0.071 = $8.8669
5. **Calculate total price after tax:**
Total after tax = $124.90 + $8.8669 = $133.7669
6. **Calculate average cost per shirt:**
Average cost = $\frac{133.7669}{3}$
7. **Simplify average cost:**
Average cost = $\frac{\cancel{133.7669}}{\cancel{3}} = 44.5889667$ (approx.)
8. **Final answer:**
Average cost per shirt including tax is approximately $44.59$.
**Answer: B. 44.59**
Shirt Discount 4F5E8D
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