1. **State the problem:** Latanya misses 20% of her free throws and missed 48 shots. We need to find the total number of free throws she attempted. 2. **Formula used:** Percentage missed = $\frac{\text{missed shots}}{\text{total attempts}} \times 100$. 3. **Set up the equation:** $20 = \frac{48}{\text{total attempts}} \times 100$. 4. **Solve for total attempts:** $$20 = \frac{48}{x} \times 100$$ $$20 = \frac{4800}{x}$$ 5. **Multiply both sides by $x$ to isolate it:** $$20x = 4800$$ 6. **Divide both sides by 20:** $$\cancel{20}x = \frac{4800}{\cancel{20}}$$ $$x = 240$$ 7. **Answer:** Latanya attempted **240** free throws in total. This means 48 missed shots represent 20% of 240 total attempts.