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Bunuel
If Peter spends $460 on three pairs of shoes, how much did the least expansive shoes cost?

(1) The ratio between the most expansive shoes to the least expansive shoes is 3 to 1.
(2) The ratio between the least expansive shoes to all the other ones is 1 to 5.

We are given that Peter spends $460 on three pairs of shoes and need to determine the price of the least expensive pair of shoes.

Statement One Alone:

The ratio between the most expensive shoes to the least expensive shoes is 3 to 1.

Since we do not have any information regarding the 2nd cheapest pair of shoes we cannot determine the cost of the least expensive shoes. Statement one is not sufficient to answer the question.

Statement Two Alone:

The ratio between the least expensive shoes to all the other ones is 1 to 5.

We can create the equation:

x + 5x = 460

6x = 460

x = 76.6

Thus, the least expensive shoes were 76.60 dollars.

Answer: B
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