agdimple333 wrote:
During a sale, a clothing store sold each shirt at a price of $15 and each sweater at a price of $25.00 Did the store sell more sweaters than shirts during the sale?
1) The average of the prices of all of the shirts and sweaters that the store sold during the sale was $21.00
2) The total of the prices of all of the shirts and sweaters that the store sold during the sale was $420.00
The average of the prices of all of the shirts and sweaters that the store sold during the sale was $21.00.
Since the average price of $21 is closer to $25 than it is to $15, there must be more sweaters sold than shirts. Statement one alone is sufficient.
Statement Two Alone:
The total of the prices of all of the shirts and sweaters that the store sold during the sale was $420.00.
It’s possible that 12 sweaters and 8 shirts are sold since 12 x 25 + 8 x 15 = 300 + 120 = $420. It’s also possible that 6 sweaters and 18 shirts are sold since 6 x 25 + 18 x 15 = 150 + 270 = $420. In the former example, more sweaters were sold; however, in the latter example, more shirts were sold. Statement two alone is not sufficient.
Answer: A