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Re: Of the N candies in a bag, some are peppermint and the rest are [#permalink]

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15 Oct 2016, 15:17

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This post was BOOKMARKED

This problem can easily be solved by following the rule that states that to solve for a variable we need the same number of distinct, linear equations as variables. I hope you find my approach "elegant"

Question (Given) N = p + s N = ? We have 3 variables and 1 equation

Statement 1 (p - 1)/s = 1/4 When we combine this statement with the given info, we yield 3 variables and 2 equations. Insufficient

Statement 2 (s - 2)/p = 3/1 When we combine this statement with the given info, we yield 3 variables and 2 equations. Insufficient

Therefore, we need to combine both statements to get 3 variables and 3 equations. Of course, no need to do the actual calculation. Correct Answer = C

Bonus Track: In case you REALLY want to know the value of variables: p = 6 and s = 20, thereby N = 26.
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Consider giving me Kudos if I helped, but don´t take them away if I didn´t!

I am having an issue translating Statement 2 for some reason. I am fine on S1

On Statement 2, could I not do \(\frac{(s-2)}{(n-2)}\) = \(\frac{3}{4}\) (in that 3/4 of remaining candies are Spearmint)?

yes you can.. it also leads to same..

\(\frac{(s-2)}{(n-2)}\) = \(\frac{3}{4}\).. now s-2=(n-2)-p.. substitute \(\frac{(s-2)}{(n-2)}=\frac{(n-2)-p}{n-2}=\frac{n-2}{n-2}-\frac{p}{n-2}=1-\frac{p}{n-2}=\frac{3}{4}\)... \(\frac{p}{n-2}=1-\frac{3}{4}=\frac{1}{4}\) now these is same as the statement II
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