1. **State the problem:** Tamika wants to find when the total cost to fish at Floyd's Catfish Farm equals the total cost at Miller's Catfish Farm. 2. **Define variables:** Let $p$ = pounds of fish caught. Let $t$ = total cost. 3. **Write the cost equations:** Floyd's Catfish Farm charges a $5 fee plus $2 per pound: $$t = 5 + 2p$$ Miller's Catfish Farm charges $3 per pound with no fee: $$t = 3p$$ 4. **Set the costs equal to find when charges are the same:** $$5 + 2p = 3p$$ 5. **Solve for $p$:** Subtract $2p$ from both sides: $$5 = 3p - 2p$$ $$5 = p$$ 6. **Interpret the solution:** When Tamika catches 5 pounds of fish, the total cost at both farms is the same. 7. **Find the total cost at $p=5$:** Substitute $p=5$ into either equation: $$t = 3 \times 5 = 15$$ **Final answer:** The charges are the same when Tamika catches 5 pounds of fish, and the total cost is 15.