tonebeeze wrote:The problem below is easy to solve intuitively, but can someone walk me thru the word translation into numbers/algebra. Thanks.
A certain brand of cocoa is sold in boxes of two sizes, A and B. For which size is the price per ounce of cocoa less?
1. The weight of the cocoa in the Size B box is 1 2/3 times that in the size A box.
2. The price of a size B box is 80 percent more than the price of a size A box.
Statement 1: The weight of the cocoa in the Size B box is 1 2/3 times that in the size A box.
Weight B: Weight A = (5/3):1 = 5:3.
No information about price.
Insufficient.
Statement 2: The price of a size B box is 80 percent more than the price of a size A box.
Price B: Price A = (1.8):1 = 18:10 = 9:5.
No information about weight.
Insufficient.
Statements 1 and 2 combined:
Dividing the second ratio by the first ratio, we get:
Price B/Weight B = 9/5.
Price A/Weight A = 5/3.
Since 9/5 > 5/3, the price per ounce of A is less.
Sufficient.
The correct answer is
C.
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