# 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 $$B$$ 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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