First, let's determine how many slices of each pie Hassan and his family ate.
-
Apple Pie:
- The apple pie was cut into 6 equal slices.
- They ate \( \frac{5}{6} \) of the apple pie.
- To find the number of slices eaten from the apple pie: \[ \frac{5}{6} \times 6 = 5 \text{ slices} \]
-
Blueberry Pie:
- The blueberry pie was cut into 12 equal slices.
- They ate the same fraction of the blueberry pie, which is also \( \frac{5}{6} \).
- To find the number of slices eaten from the blueberry pie: \[ \frac{5}{6} \times 12 = 10 \text{ slices} \]
-
Total Slices Eaten:
- The total number of slices eaten from both pies is: \[ 5 \text{ (from apple pie)} + 10 \text{ (from blueberry pie)} = 15 \text{ slices} \]
However, since the answer choices provided are A. 9, B. 10, and C. 12, and we found that they ate 15 slices, it seems there might be a misunderstanding in the answer options.
The answer is \( 5 + 10 = 15 \), which is not provided in the choices. If you have to select an answer based on the options given, none of them accurately reflect the number of slices eaten.
But if you're looking for just the number of slices eaten from an individual pie, they ate:
- 5 slices from the apple pie
- 10 slices from the blueberry pie
The total is 15 slices. Please check the question again or consider any potential errors in the answer choices given.