1. **State the problem:** Given the ratio of apples to oranges is 3:5, and if 4 apples are added, the new ratio becomes 1:1. We need to find the value of $x$ and the number of apples and oranges. 2. **Express the quantities:** Let the number of apples be $3x$ and the number of oranges be $5x$. 3. **Add 4 apples:** New number of apples = $3x + 4$. 4. **Set the new ratio to 1:1:** $$\frac{3x + 4}{5x} = 1$$ 5. **Solve the equation:** $$3x + 4 = 5x$$ $$4 = 5x - 3x$$ $$4 = 2x$$ $$x = \frac{4}{2} = 2$$ 6. **Find the number of apples and oranges:** Apples = $3x = 3 \times 2 = 6$ Oranges = $5x = 5 \times 2 = 10$ 7. **Verify the new ratio:** New apples = $6 + 4 = 10$ Oranges = $10$ Ratio = $\frac{10}{10} = 1$, which matches the given condition. **Final answer:** $x = 2$, apples = 6, oranges = 10.