At a certain bakery, each roll costs r cents and each : GMAT Data Sufficiency (DS)
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# At a certain bakery, each roll costs r cents and each

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At a certain bakery, each roll costs r cents and each [#permalink]

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18 Dec 2005, 17:08
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At a certain bakery, each roll costs r cents and each doughnut costs d cents. If Alfredo bought rolls and doughnuts at the bakery, how many cents did he pay for each roll?

(1) Alfredo paid $5.00 for 8 rolls and 6 doughnuts (2) Alfredo would have paid$ 10.00 if he had bought 16 rolls and 12 doughnuts
[Reveal] Spoiler: OA
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Re: At a certain bakery, each roll costs r cents and each [#permalink]

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18 Dec 2005, 17:11
This is a typical GMAT trap. YOu might have seen my earlier post about picking numbers for DS. In general, two equations in two unknowns can be solved to get a unique (one) solution except when the two equations are the same. If you divide the information in statement 2, you get statemetn 1. So, statemetn 2 is not giving you any new information. Hence, the answer should be E.

-Srinivas (mathguru).
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18 Dec 2005, 18:28
The oa is E

thanks srinivasssrk, i fell for it.
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Re: At a certain bakery, each roll costs r cents and each [#permalink]

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18 Dec 2005, 19:28

(1) and (2) are the same thing
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Re: At a certain bakery, each roll costs r cents and each [#permalink]

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18 Dec 2005, 19:35
TeHCM wrote:

(1) and (2) are the same thing

For once, I get the right answer..
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Re: At a certain bakery, each roll costs r cents and each [#permalink]

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19 Dec 2005, 00:51
joemama142000 wrote:
At a certain bakery, each roll costs r cents and each doughnut costs d cents. If Alfredo bought rolls and doughnuts at the bakery, how many cents did he pay for each roll?

1) Alfredo paid $5.00 for 8 rolls and 6 doughnuts 2) Alfredo would have paid$ 10.00 if he had bought 16 rolls and 12 doughnuts

From stmt1 we get 8r+6d = 5
From stmt2 we get 16r + 12d = 10

Stmt1 * 2 = stmt 2, and we will not be able to solve this equen. So my answer is E.
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Re: At a certain bakery, each roll costs r cents and each [#permalink]

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19 Dec 2005, 10:44
Similar Equations , hence 1 equation , 2 variables .... E
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Re: At a certain bakery, each roll costs r cents and each [#permalink]

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03 Jan 2015, 09:42
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Re: At a certain bakery, each roll costs r cents and each [#permalink]

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05 Jan 2015, 03:12
At a certain bakery, each roll costs r cents and each doughnut costs d cents. If Alfredo bought rolls and doughnuts at the bakery, how many cents did he pay for each roll?

Let $$r$$ be the price of rolls in cents and $$d$$ be the price of doughnuts in cents. Note that $$r$$ and $$d$$ must be an integers. Q: $$r=?$$

(1) Alfredo paid $5.00 for 8 rolls and 6 doughnuts --> $$8r+6d=500$$ --> $$4r+3d=250$$. Multiple solutions are possible, for instance: $$r=25$$ and $$d=50$$ OR $$r=10$$ and $$d=70$$. Not sufficient. (2) Alfredo would have paid$ 10.00 if he had bought 16 rolls and 12 doughnuts --> $$16r+12d=1000$$ --> $$4r+3d=250$$. The same. Not sufficient.

(1)+(2) No new info. Not sufficient.

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Re: At a certain bakery, each roll costs r cents and each [#permalink]

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06 Sep 2016, 22:44
Statement 1: 8r+6d=500 (Dollars to cents). Multiple values of r & d can work. For ex: r=10,d=70 & r=40, d=30. Not sufficient.
Statement 2: This is a tautological statement. (As St:1 is multiplied by 2).

Hence, option E.
Re: At a certain bakery, each roll costs r cents and each   [#permalink] 06 Sep 2016, 22:44
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