LUANDATO wrote:Maryam's wallet contains a combination of $5 and $10 bills. What is the ratio of $5 bills to $10 bills?
(1) The ratio of the number of bills to the total dollar value is 1/9.
(2) The total dollar value of the bills is $360.
Let F = the number of five dollar bills and T = the number of 10 dollar bills.
Thus:
Total number of bills =
F + T.
Total dollar value of the bills =
5F + 10T.
Question stem:
What is the value of F/T?
Statement 1:
Since the ratio of the red expression to the blue expression is 1 to 9, we get:
(F+T)/(5F + 10T) = 1/9
9(F+T) = 5F + 10T
9F + 9T = 5F + 10T
4F = T
4 = T/F
1/4 = F/T.
SUFFICIENT.
Statement 2:
5F + 10T = 360
F + 2T = 72.
F = 72 - 2T.
If T=1, then F = 72 - (2*1) = 70, with the result that F/T = 70/1.
If T=2, then F = 72 - (2*2) = 68, with the result that F/T = 68/2.
Since F/T can be different values, INSUFFICIENT.
The correct answer is
A.
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