Money Short

Four friends--let's call them A, B, C, and D--are planning to go to the concert, but they realize that they are a few dollars short to buy the tickets ($50 per ticket).

We know that each of them has an integer amount of dollars and that

if BB borrowed $11 from AA, then BB would have 23\frac{2}{3} of AA's balance;
if CC borrowed $22 from BB, then CC would have 35\frac{3}{5} of BB's balance;
if DD borrowed $33 from CC, then DD would have 57\frac{5}{7} of CC's balance.

At least how much more money (in $) do they need all together in order to afford 4 tickets?


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