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A certain bakery sells rye bread in 16-ounce loaves and

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A certain bakery sells rye bread in 16-ounce loaves and [#permalink] New post 06 Feb 2012, 07:57
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A certain bakery sells rye bread in 16-ounce loaves and 24-ounce loaves, and all loaves of the same size sell for the same price per loaf regardless of the number of loaves purchased. What is the price of a 24-ounce loaf of rye bread in this bakery?


(1) The total price of a 16-ounce loaf and a 24-ounce loaf of this bread is $2.40.
(2) The total price of two 16-ounce loaves and one 24-ounce loaf of this bread is $3.40.
[Reveal] Spoiler: OA

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Re: A certain bakery sells rye bread in 16-ounce loaves and [#permalink] New post 06 Feb 2012, 08:03
A certain bakery sells rye bread in 16-ounce loaves and 24-ounce loaves, and all loaves of the same size sell for the same price per loaf regardless of the number of loaves purchased. What is the price of a 24-ounce loaf of rye bread in this bakery?

Let x be the price of 16-ounce loaves and y the price of 24-ounce loaves. Question: y=?

(1) The total price of a 16-ounce loaf and a 24-ounce loaf of this bread is $2.40 --> x+y=$2.4. Not sufficient.
(2) The total price of two 16-ounce loaves and one 24-ounce loaf of this bread is $3.40 --> 2x+y=$3.4. . Not sufficient.

(1)+(2) We have 2 distinct linear equations with 2 unknowns, hence we can solve for x and y. Sufficient.

Answer: C.
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Re: A certain bakery sells rye bread in 16-ounce loaves and [#permalink] New post 17 May 2013, 00:29
fiendex wrote:
A certain bakery sells rye bread in 16-ounce loaves and 24-ounce loaves, and all loaves of the same size sell for the same price per loaf regardless of the number of loaves purchased. What is the price of a 24-ounce loaf of rye bread in this bakery?


(1) The total price of a 16-ounce loaf and a 24-ounce loaf of this bread is $2.40.
(2) The total price of two 16-ounce loaves and one 24-ounce loaf of this bread is $3.40.


stmt1: 2 unknowns and one equation can't be solved. A, D ruled out.
stmt2: 2 unknows one equation can't be solved B, ruled out

now left with c and E. combine both equations we can solve. so E ruled out
hence C
Re: A certain bakery sells rye bread in 16-ounce loaves and   [#permalink] 17 May 2013, 00:29
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