This question is worth 3 credits. Liam makes and sells handmade blankets. He buys 18 yards of fabric at a rate of \( \$ 6.75 \) per yard. Liam uses 1.5 yards of fabric to make each blanket, and uses all of the fabric. Liam sells each blanket for \( \$ 18.75 \). What is the profit Llam makes after buying the fabric and selling all the blankets? Show your work.

To find Liam's profit, we need to start by calculating the total cost of the fabric and then determine how many blankets he can make and the total revenue from selling them. 1. **Total Cost of Fabric**: Liam buys 18 yards of fabric at \( \$ 6.75 \) per yard. \[ \text{Total Cost} = 18 \text{ yards} \times 6.75 \text{ dollars/yard} = \$ 121.50 \] 2. **Number of Blankets Made**: Liam uses 1.5 yards of fabric per blanket. \[ \text{Number of Blankets} = \frac{18 \text{ yards}}{1.5 \text{ yards/blanket}} = 12 \text{ blankets} \] 3. **Total Revenue from Selling Blankets**: Liam sells each blanket for \( \$ 18.75 \). \[ \text{Total Revenue} = 12 \text{ blankets} \times 18.75 \text{ dollars/blanket} = \$ 225.00 \] 4. **Profit Calculation**: Profit is calculated as total revenue minus total costs. \[ \text{Profit} = \text{Total Revenue} - \text{Total Cost} = 225.00 - 121.50 = \$ 103.50 \] Thus, the profit Liam makes after buying the fabric and selling all the blankets is **\$ 103.50**.