1. **Problem:** Jordan buys sneakers for $28.56 after tax. The store had a 92% discount and 15% tax. 2. **Goal:** Find the original price and the tax paid. 3. **Step 1: Understand the problem.** - The final price $28.56$ includes tax. - The store applied a 92% discount (meaning the customer pays 92% of the discounted price). - Tax is 15% on the discounted price before tax. 4. **Step 2: Define variables and formulas.** - Let $P$ be the original price. - After discount, price before tax is $P \times 0.92$. - After tax, final price is $P \times 0.92 \times 1.15 = 28.56$. 5. **Step 3: Solve for $P$.** $$ P \times 0.92 \times 1.15 = 28.56 $$ $$ P \times 1.058 = 28.56 $$ $$ P = \frac{28.56}{1.058} $$ $$ P = 27.00 $$ 6. **Step 4: Calculate price before tax (discounted price).** $$ \text{Price before tax} = P \times 0.92 = 27.00 \times 0.92 = 24.84 $$ 7. **Step 5: Calculate tax paid.** $$ \text{Tax} = \text{Final price} - \text{Price before tax} = 28.56 - 24.84 = 3.72 $$ **Final answers:** - Original price: $27.00$ - Tax paid: $3.72$