puma wrote:
What was the range of the selling prices of the 30 wallets sold by a certain store yesterday?
(1) 1/3 of the wallets had a selling price of $24 each.
(2) The lowest selling price of the wallets was 1/3 the highest selling price of the wallets.
Solution:Question Stem Analysis:We need to determine the range of the selling prices of the 30 wallets sold by a certain store. Recall that range is the difference between the highest value and the lowest value in a set of numbers. Therefore, if we can determine the highest price and the lowest price of the wallets, then we can determine the range of the prices.
Statement One Alone:From statement one, we see that 10 of the wallets were sold for $24 each. However, since we know neither the highest price nor the lowest price of the wallets, we can’t determine the range of the prices. Statement one alone is not sufficient.
Statement Two Alone:From statement two, we see that the range is 2/3 the highest price of the wallets. However, since we don’t know the highest price of the wallets, we can’t determine the range of the prices. Statement two alone is not sufficient.
Statements One and Two Together:Recall that the range is 2/3 the highest price of the wallests. However, since we still don’t know the highest price of the wallets (and there is no indication that $24 is the highest price of the wallets), we can’t determine the range of the prices. Both statements together are not sufficient.
Answer: E