1. **State the problem:** A potter makes bowls and planter pots. Each bowl requires 8 hours and 2 pounds of clay. Each planter pot requires 18 hours and 14 pounds of clay. The potter worked 220 hours and used 150 pounds of clay. We need to find how many bowls ($b$) and planter pots ($p$) were made. 2. **Write the system of equations:** - Time equation: $$8b + 18p = 220$$ - Clay equation: $$2b + 14p = 150$$ 3. **Solve the system:** From the clay equation, solve for $b$: $$2b + 14p = 150$$ $$2b = 150 - 14p$$ $$b = \frac{150 - 14p}{2}$$ 4. **Substitute $b$ into the time equation:** $$8\left(\frac{150 - 14p}{2}\right) + 18p = 220$$ Simplify: $$4(150 - 14p) + 18p = 220$$ $$600 - 56p + 18p = 220$$ $$600 - 38p = 220$$ 5. **Isolate $p$:** $$-38p = 220 - 600$$ $$-38p = -380$$ $$p = \frac{-380}{-38} = 10$$ 6. **Find $b$ using $p=10$:** $$b = \frac{150 - 14(10)}{2} = \frac{150 - 140}{2} = \frac{10}{2} = 5$$ 7. **Interpretation:** The potter made 5 bowls and 10 planter pots. 8. **Check:** - Time: $$8(5) + 18(10) = 40 + 180 = 220$$ hours (correct) - Clay: $$2(5) + 14(10) = 10 + 140 = 150$$ pounds (correct) **Final answer:** The potter made **5 bowls** and **10 planter pots**.