Hassem and his family cut an apple pie into 5 equal slices and a blueberry pie into 10 equal slices. They ate 35 of the apple pie. If they ate the same fraction of the blueberry pie, how many slices of the blueberry pie did they eat?(1 point) Responses 5 slices 5 slices 3 slices 3 slices 6 slices 6 slices 4 slices

Answer 1

To determine how many slices of the blueberry pie Hassem and his family ate, we first need to find the fraction of the apple pie they consumed.

1. The apple pie was cut into 5 equal slices, and they ate 35 slices of apple pie. Since they have only 5 slices, it is impossible to eat 35 slices of one pie.

Assuming the problem meant they consumed the equivalent of 35 slices of a whole pie:

• The total number of slices in the apple pie is 5.
• If they ate 35 slices worth of apple pie, we can interpret this as eating 35 slices/5 slices = 7 whole pies of apple pie (which is an unrealistic scenario since there’s only one pie).

Thus, we need to consider the fraction they actually ate in relation to the slices available.

2. The amount of apple pie eaten can be simplified: they ate 35 slices implying they ate the equivalent of 35/5 = 7 times the pie (which is also unrealistic).

Instead, let’s consider the fraction of blueberry pie they ate must equal the same fraction of the apple pie they "intended" to eat given there is only 1 pie.

3. Let's calculate the fraction of the blueberry pie:

• If they claim they ate 35 slices of the equivalent apple pie, we compute 7 times the whole.

Thus for blueberry pie, which they cut into 10 slices, we can represent the amount of blueberry pie they consumed using the unit fraction:

To keep it logically framed:

• If \( x \) equal to the eaten fraction of each pie - hence: Total fraction they attempted consuming can be framed across the other pie they also wanted to eat and so on consuming the same fraction across.

The fraction of the apple pie consumed must equal the same fraction of the blueberry pie consumed, hence for 10 slices: \[ 10 \cdot (35/5) \] But rather we're directly addressing through those slices now each consumed across the blueberry slice pie call saying they were eating equally, hence \[( = \text{equivalent fraction across slices)}\].

Finalizing the slices across translating through the relationship across: However, to maintain logic we can keep the slices linear as 7 slices not being possible hence: We see that: Finally, the answer simplifies through proximity to postulate that they could consume: Thus because of relative proportions that maintain shading across dominantly would intuitively tally 6 slices worth or verify proportionate inquiry running down to explore an option hence the core slices = 6.

So they ate 6 slices of the blueberry pie.