Subject: An actual, scientific answer.
Author:
Posted on: 2015-03-27 16:20:00 UTC
Which doesn't even bend the rules as stated.
Weigh all three boxes. Since you haven't stated that they're all the same size, I'll also measure them and calculate their volumes. From their masses and volumes, I can calculate their density.
Apples and oranges are roughly the same size; we can therefore assume that they will pack in 3D space in virtually the same way, and that a mixture of the two will do so as well.
Apples and oranges have a different density. Therefore, our three boxes will have three different densities: the one in the middle will be apples+oranges, while the most and least dense will be homogeneous.
I suspect that the apples will be densest, but we don't need to make that assumption: take a single piece of fruit from the densest box. The least dense will be the other variety.
And that's how a scientist would go about it. ^_^
hS