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Blair is shopping for a meal. He buys truffles, caviar,

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DeepGagan
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Blair is shopping for a meal. He buys truffles, caviar, [#permalink] New post   01 Jun 2011, 18:19
2
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A
B
C
D
E

Difficulty:

95% (hard)

Question Stats:

23% (02:05) correct 77% (02:20) wrong based on 26 sessions
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Blair is shopping for a meal. He buys truffles, caviar, tuna, and grapes. He spends the same amount of money on each item, though he purchases different quantities of each. If the quantities purchased are all integer values greater than 1, and if the product of the weights in ounces of each item is equal to the price in cents paid for each item, what is the median price paid per ounce?

(1) Blair spent a total of $46.20 on items.
(2) Blair purchased a total of 26 ounces of food items.

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A
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Re: Blair is shopping for a meal. He buys truffles, caviar, [#permalink] New post   01 Jun 2011, 19:51
I thought it ans would be C. Not sure how A alone is sufficient. 4620 can have many factors like 3, 4, 5, 11 or 10, 11, 2, 3. The median would be different depending on the 4 factors.
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Re: Blair is shopping for a meal. He buys truffles, caviar, [#permalink] New post   02 Jun 2011, 02:13
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DeepGagan wrote:
Blair is shopping for a meal. He buys truffles, caviar, tuna, and grapes. He spends the same amount of money on each item, though he purchases different quantities of each. If the quantities purchased are all integer values greater than 1, and if the product of the weights in ounces of each item is equal to the price in cents paid for each item, what is the median price paid per ounce?
(1) Blair spent a total of $46.20 on items.
(2) Blair purchased a total of 26 ounces of food items.


(1)
Total Price=46.2
Individual Price(in cents)=4620/4=1155
1155=11*7*5*3 (Price of each item in cents=product of their weights)
Total weight=11+7+5+3=26 oz
Median Price=$11.55
Median Price Per oz=11.55/26
Sufficient.

(2)
Total Weight=26
Median Price May Differ:
2*4*8*12=768
2*5*9*10=900
Not Sufficient.

Ans: "A"
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Re: Blair is shopping for a meal. He buys truffles, caviar, [#permalink] New post   06 Jun 2011, 02:56
let the individual weights be a,b,c and d ounces.

product = abcd = price of each item in cents.

a price of each item = 46.20/4 = 11.55 * 100 = 1155 c.

1155 = 3*5*7*11 or 1*3*5*77 etc.
however, weights are > 1 ounce.

hence only 3,5,7 and 11 are the individual weights.Thus 11.55/11 to 11.55/3 is the set.

Sufficient.

b a+b+c+d = 26. gives no value of individual prices.Not sufficient.

A it is.
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Re: Blair is shopping for a meal. He buys truffles, caviar, [#permalink] New post   31 Jan 2017, 17:31
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Re: Blair is shopping for a meal. He buys truffles, caviar, [#permalink]
31 Jan 2017, 17:31
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