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# M70-39

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Math Expert
Joined: 02 Sep 2009
Posts: 52905

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04 Sep 2018, 01:44
00:00

Difficulty:

45% (medium)

Question Stats:

57% (01:29) correct 43% (00:53) wrong based on 7 sessions

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A praline box contained 10 milk chocolate pralines, 6 bitter chocolate pralines and 4 white chocolate pralines. To this amount were added x pralines, out of which $$y\%$$ were milk chocolate. Of the new amount of pralines, are more than half milk chocolate?

(1) $$x=8$$

(2) $$y=60$$

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Joined: 02 Sep 2009
Posts: 52905

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04 Sep 2018, 01:44
Official Solution:

We’ll go for LOGICAL because that is our first choice in Data Sufficiency.

The question asks us about the new percentage of milk chocolate pralines, so we’ll start by finding the original percentage: $$\frac{10}{10 + 6 + 4}=\frac{10}{20}=\frac{1}{2}= 50\%$$. So, we are being asked whether the new pralines increased the milk chocolate percentage. (1) Knowing the number of pralines added without knowing their composition doesn’t help us determine the new percentage. (A) and (D) are eliminated. (2) If the percentage of milk chocolate in the added pralines is greater than the percentage in the original amount, the new amount must have an increased percentage. (C) and (E) are eliminated.

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Joined: 26 Mar 2013
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05 Sep 2018, 10:16
Bunuel wrote:
Official Solution:

We’ll go for LOGICAL because that is our first choice in Data Sufficiency.

The question asks us about the new percentage of milk chocolate pralines, so we’ll start by finding the original percentage: $$\frac{10}{10 + 6 + 4}=\frac{10}{20}=\frac{1}{2}= 50\%$$. So, we are being asked whether the new pralines increased the milk chocolate percentage. (1) Knowing the number of pralines added without knowing their composition doesn’t help us determine the new percentage. (A) and (D) are eliminated. (2) If the percentage of milk chocolate in the added pralines is greater than the percentage in the original amount, the new amount must have an increased percentage. (C) and (E) are eliminated.

Hi Bunuel

While I thank you for the high quality questions you posted recently, I was disappointed in the way you organized the official solution. it is a total mess with one paragraph with full of info.

I hope you help us like all your old posts in GC answers.
Intern
Joined: 15 Jan 2019
Posts: 3

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21 Jan 2019, 04:33
When considering statement 2, is it the fact that the question says 'new amount' that prevents x being = zero?
Re: M70-39   [#permalink] 21 Jan 2019, 04:33
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# M70-39

Moderators: chetan2u, Bunuel

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