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Smithson sells two printer models, HL100 and HL200. Of the customers who purchased model HL200 last month, \(\tfrac{3}{5}\) would have purchased model HL100 if HL200 had been unavailable, and of those who purchased model HL100, \(\tfrac{1}{20}\) would have purchased model HL200 if HL100 had been unavailable.
If \(\tfrac{7}{12}\) of the customers who purchased a Smithson printer last month would not have purchased either model if their chosen model had been unavailable, what fraction of the Smithson printers sold last month were model HL200?
A) \(\tfrac{2}{5}\)
B) \(\tfrac{7}{12}\)
C) \(\tfrac{3}{5}\)
D) \(\tfrac{2}{3}\)
E) \(\tfrac{4}{5}\)
If \(\tfrac{7}{12}\) of the customers who purchased a Smithson printer last month would not have purchased either model if their chosen model had been unavailable, what fraction of the Smithson printers sold last month were model HL200?
A) \(\tfrac{2}{5}\)
B) \(\tfrac{7}{12}\)
C) \(\tfrac{3}{5}\)
D) \(\tfrac{2}{3}\)
E) \(\tfrac{4}{5}\)
