Since the number of $5 bills and $10 bills are unknowns, it gives us a chance to develop variables.
Let the number of $5 bills be x and the number of $10 bills be y. Total number of bills = x+y.
Total dollar value of $5 bills = 5x
Total dollar value of $10 bills = 10y
Therefore, total dollar value = 5x + 10y.
From statement I alone, the ratio of the number of bills to the total dollar value is \(\frac{1}{9}\).
That is, \(\frac{(x+y) }{ (5x + 10y)}\) = \(\frac{1 }{ 9}\). Simplifying this equation, we have,
\(\frac{x}{y}\) = \(\frac{1}{4}\). The ratio of the $5 bills to the $10 bills is ¼.
Statement I alone is sufficient to answer the question. Answer options B, C and E can be eliminated. Possible answer options are A or D.
From statement II alone, the total dollar value of the bills is $360.
This means 5x + 10y = 360. We have one independent equation with two unknowns. We cannot solve for a unique value for the variables and hence cannot find the required ratio.
Statement II alone is insufficient to answer the question. Answer option D can be eliminated.
The correct answer option is A.
Hope that helps!
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