kinds of pies. Each pie pan was the same size. He served $$ \frac{1}{2} $$ of the blueberry pie. He served $$ \frac{1}{4} $$ of the apple pie. If each pie had 8 pieces to start, what fraction in eighths of the apple pie did he serve? How many more pieces of the blueberry pie than the apple pie did he serve?

Question

UpStudy AI · Accepted Answer

To solve the problem, we need to break it down step by step.

1. **Determine the number of pieces served from each pie:**
   - Each pie has 8 pieces.
   - For the blueberry pie, he served $$ \frac{1}{2} $$ of it:
     $$
     \text{Pieces of blueberry pie served} = \frac{1}{2} \times 8 = 4 \text{ pieces}
     $$
   - For the apple pie, he served $$ \frac{1}{4} $$ of it:
     $$
     \text{Pieces of apple pie served} = \frac{1}{4} \times 8 = 2 \text{ pieces}
     $$

2. **Convert the pieces of apple pie served into eighths:**
   - Since each pie has 8 pieces, we can express the pieces of apple pie served in eighths:
     $$
     \text{Fraction of apple pie served in eighths} = \frac{2 \text{ pieces}}{8 \text{ pieces}} = \frac{2}{8} = \frac{1}{4}
     $$

3. **Calculate how many more pieces of blueberry pie were served than apple pie:**
   - We already found that 4 pieces of blueberry pie were served and 2 pieces of apple pie were served:
     $$
     \text{Difference} = 4 \text{ pieces (blueberry)} - 2 \text{ pieces (apple)} = 2 \text{ pieces}
     $$

### Summary of Results:
- The fraction of the apple pie served in eighths is $$ \frac{1}{4} $$.
- He served 2 more pieces of blueberry pie than apple pie.

Thus, the final answers are:
- Fraction of apple pie served in eighths: $$ \frac{1}{4} $$
- More pieces of blueberry pie served than apple pie: 2 pieces.
He served $$ \frac{1}{4} $$ of the apple pie in eighths and 2 more pieces of blueberry pie than apple pie.

Real Tutor Solution

Answer

Solution

Beyond the Answer

Related Questions

Latest Pre Algebra Questions