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A box of doughnuts contains glazed, cream-filled, and jelly

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Kudos [?]: 13 [0], given: 110

Re: A box of doughnuts contains glazed, cream-filled, and jelly [#permalink] New post 16 Dec 2011, 21:47
Let 'g' be the number of glazed doughnuts and let 'n' be the total number of doughnuts.
Thus, we need to find the value of (g / n).

Statement 1:
After the first glazed doughnut is selected, the number of remaining glazed doughnuts = (g - 1)
Number of remaining total doughnuts = (n - 1)
Thus this statement tells us that (g - 1)/(n - 1) = 2/5 => (5g - 5) = (2n - 2) => 5g = 2n + 3
As there are two unknowns, we cannot get a value for (g/n). INSUFFICIENT.

Statement 2: g = 5
This does not give a value for n. So INSUFFICIENT.

Combining these two statements, we have the value of 'g' from (2), which can be substituted in the equation obtained from (1) to find the value of 'n'.
Thus, we can find out (g/n). SUFFICIENT.
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Re: A box of doughnuts contains glazed, cream-filled, and jelly   [#permalink] 16 Dec 2011, 21:47
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A box of doughnuts contains glazed, cream-filled, and jelly

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