During a sale, a clothing store sold each shirt at a price of $15 and each sweater at a price of $25. Did the store sell more sweaters than shirts during the sale?
(1) The average (arithmetic mean) of the prices of all the shirts and sweaters that the store sold during the sale was $21.
(2) The total of the prices of all the shirts and sweaters that the store sold during the sale was $420
This is a weighted average question. Almost no math is needed.
Statement 1: Average of all sales = $21.
Since the average (21) is closer to the price of a sweater (25) than to the price of a shirt (15), the store sold more sweaters than shirts.
Sufficient.
Statement 2: Total of all sales = $420.
No way to determine whether the store sold more sweaters than shirts.
The correct answer is
A.
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