To determine how many triangular bases are among the pyramids that Jayla sees, we can analyze the types of pyramids she has:
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Square Pyramids: A square pyramid has a square base. Thus, there are no triangular bases in the 3 square pyramids.
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Pentagonal Pyramids: A pentagonal pyramid has a pentagonal base. Therefore, there are also no triangular bases in the 2 pentagonal pyramids.
Since both the square pyramids and the pentagonal pyramids do not have triangular bases, we conclude that the total number of triangular bases among the 3 square pyramids and 2 pentagonal pyramids is:
\[ \text{Total triangular bases} = 0 \]
Thus, the answer is 0.