1. **State the problem:** Mike has 6 green apples and 3 red apples. Each apple is sliced into eighths. We need to find the total number of slices. 2. **Understand the problem:** Each apple is cut into 8 slices. Total apples = 6 + 3 = 9 apples. 3. **Use the formula:** Total slices = Number of apples \times slices per apple. 4. **Calculate:** $$\text{Total slices} = 9 \times 8$$ 5. **Simplify:** $$\text{Total slices} = 72$$ 6. **Answer:** Mike will have 72 slices in total.