Lets presume the total to be 100 pounds of Birdseed in the initial period.

Since the pile loses \(\frac{1}{2}\) of its total on a daily basis, we will be left with \(\frac{1}{2^5}\) or \(\frac{1}{32}\) of the total fraction.

So \(\frac{1}{32}\)th of \(100 = \frac{100}{32}\) of the initial mixture will be left.

Since we have been asked to find what fraction of the original pile remains,

we will have \(\frac{100}{32}/\frac{1}{100}\) = \(\frac{1}{32}\)

(Option B)
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