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 \(B\) borrowed $\(1\) from \(A\), then \(B\) would have \(\frac{2}{3}\) of \(A\)'s balance;

if \(C\) borrowed $\(2\) from \(B\), then \(C\) would have \(\frac{3}{5}\) of \(B\)'s balance;

if \(D\) borrowed $\(3\) from \(C\), then \(D\) would have \(\frac{5}{7}\) of \(C\)'s balance.

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

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