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Expert replies
by tonebeeze » Tue Mar 15, 2011 8:07 pm
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.
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Source: — Data Sufficiency |

by Night reader » Tue Mar 15, 2011 8:50 pm
Statement (1) does not tell us about price of cocoa, hence Not Sufficient;
Statement (2) tells us only the price of each box related each other, hence Not Sufficient;
Combined Statements (1 and 2): Weight B= 5/3 Weight A, Price B= 1.8 *Price A; Define ratios --> Weight B/Price B = Weight A/Price A; 1/1 {define signs: <, >, =} 5/3 : 18/10, 1/1 > 50/54 We can answer this question as 'the price per ounce of coca for size B is more than the price for that size A, Sufficient

IOM C

additional explanation: above, we are taking a whole (One) amount of size B Weight and size B price and comparing this with the same amount of size A Weight and with the size A's corresponding price (for the same amount).
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.
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by GMATGuruNY » Wed Mar 16, 2011 12:17 am
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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