1. **State the problem:** Emily spent 8 on snacks and bought movie tickets for herself and a friend. Each ticket costs 12. She spent a total of 32. We need to find how many movie tickets she bought. 2. **Set up the equation:** Let $x$ be the number of movie tickets bought. The total cost is the sum of the snack cost and the ticket cost: $$8 + 12x = 32$$ 3. **Solve for $x$:** Subtract 8 from both sides: $$\cancel{8} + 12x - \cancel{8} = 32 - 8$$ $$12x = 24$$ Divide both sides by 12: $$\frac{12x}{\cancel{12}} = \frac{24}{\cancel{12}}$$ $$x = 2$$ 4. **Interpretation:** Emily bought 2 movie tickets. 5. **Identify constant and rate:** - Constant (fixed cost): 8 (cost of snacks) - Rate (cost per ticket): 12 (cost per movie ticket)