To find out how many slices of the blueberry pie Hassem and his family ate, we start with the information given.
They ate \( \frac{3}{5} \) of the apple pie. The apple pie is cut into 5 equal slices.
Number of slices of the apple pie eaten: \[ \text{Slices eaten from apple pie} = \frac{3}{5} \times 5 = 3 , \text{slices} \]
Now, they ate the same fraction of the blueberry pie, which is also \( \frac{3}{5} \).
The blueberry pie is cut into 10 equal slices. So, the number of slices of the blueberry pie eaten is: \[ \text{Slices eaten from blueberry pie} = \frac{3}{5} \times 10 = 6 , \text{slices} \]
Therefore, Hassem and his family ate 6 slices of the blueberry pie.