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At the bakery, Lew spent a total of $6.00 for one kind of

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At the bakery, Lew spent a total of $6.00 for one kind of [#permalink] New post 11 Oct 2009, 23:30
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At the bakery, Lew spent a total of $6.00 for one kind of cupcake and one kind of doughnut. How many doughnuts did he buy?

1) The price of 2 doughnuts was $0.10 less than the price of 3 cupcakes.
2) The average price of 1 doughnut and 1 cupcake was $0.35.
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Re: Cupcake and Doughnut [#permalink] New post 12 Oct 2009, 00:04
mrsmarthi wrote:
At the bakery, Lew spent a total of $6.00 for one kind of cupcake and one kind of doughnut. How many doughnuts did he buy?

1) The price of 2 doughnuts was $0.10 less than the price of 3 cupcakes.
2) The average price of 1 doughnut and 1 cupcake was $0.35.


E. From i and ii: price of a doughnut = 0.40 and price of a cupcake = 0.30

nd + mp = 6
n = number of doughnuts
m = number of cupcack

1: 3p - 2d = 0.1 .............i
2: p + d = 2 (0.35) .....................ii

From i and ii: d = 0.40 and p = 0.30

If n = 0, m = 15.
If n = 4, m = 12.
....................
....................
If n = 20, m = 0

E..
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Re: Cupcake and Doughnut [#permalink] New post 12 Oct 2009, 00:14
Yes it is.......E

Hum...again a careless mistake - miscalculation from my side. :beat
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Re: Cupcake and Doughnut [#permalink] New post 12 Oct 2009, 18:56
Hi GMAT TIGER ,

Thanks for the explanation. I understood your calculation and logic behind 'E'.

However, I also came to the same conclusion. But for diffrent reasons. Please help me to understand whether I am wrong.

I assumed that there could be a burgain price for buying more than 1 of either of the items. So, when I buy one Doughnut or 1 Cupcake, the price charged could be more than a burgain price.

Thus, from both statements together I won't be able to answer the Q.

My Q to you is "Is my assumtion valid?" ---> For this Q or any similar Q?


Please clarify. Thx in appreciation.
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Re: Cupcake and Doughnut [#permalink] New post 12 Oct 2009, 22:00
Syed wrote:
Hi GMAT TIGER ,

Thanks for the explanation. I understood your calculation and logic behind 'E'.

However, I also came to the same conclusion. But for diffrent reasons. Please help me to understand whether I am wrong.

I assumed that there could be a burgain price for buying more than 1 of either of the items. So, when I buy one Doughnut or 1 Cupcake, the price charged could be more than a burgain price.

Thus, from both statements together I won't be able to answer the Q.

My Q to you is "Is my assumtion valid?" ---> For this Q or any similar Q?


Please clarify. Thx in appreciation.


Nope. You cannot go beyond the question and info provided. Your assumption do not have any effect on the answer because the answer is E. If it were other than E, your assumption would have altered the answer. In that case, you would be trapped to wrong answer. Your answer must be based only on the info provided..
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Re: Cupcake and Doughnut [#permalink] New post 13 Oct 2009, 05:43
Thanks for the clarification Tiger..
Re: Cupcake and Doughnut   [#permalink] 13 Oct 2009, 05:43
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