Using what you were told, you get:

Then, find the probability of:

P(25 < w < 27)

P(27 < w < 29)

P(29 < w < 31)

P(31 < w < 33)

P(33 < w < 35)

P(35 < w < 37)

But you'll also see that:

P(29 < w < 31) = P(31 < w < 33)

P(27 < w < 29) = P(33 < w < 35)

P(25 < w < 27) = P(35 < w < 37)

Those are the percentage distributions of the eggs. Multiply by 100 to get the number of eggs.