Answer:
72 beads
Step-by-step explanation:
Let's call the the inicial number of beads Aaron has 'A', Bessy has 'B', Carl has 'C' and Dawn has 'D'.
First, we have A + B + C + D = 200
Aaron gives 26 and receives 4, so Aaron has A' = A - 22
Bessy gives 36 and receives 26, so Bessy has B' = B - 10
Carl gives 32 and receives 36, so Carl has C' = C + 4
Dawn gives 4 and receives 32, so Dawn has D' = D + 28
And in the end we have A' = B' = C' = D'.
The total number of beads is still 200, so we have:
A' + B' + C' + D' = 200
A' + A' + A' + A' = 200
A' = 50
A - 22 = 50
A = 72 beads