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Silky Dark Chocolate is 80% cocoa. Rich Milk Chocolate is

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Silky Dark Chocolate is 80% cocoa. Rich Milk Chocolate is [#permalink]  20 Oct 2017, 16:01
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Question Stats:

55% (00:44) correct 44% (01:23) wrong based on 27 sessions

Silky Dark Chocolate is 80% cocoa.
Rich Milk Chocolate is 50% cocoa.
Smooth White Chocolate is 0 % cocoa.

 Quantity A Quantity B Percent cocoa of a mixture of 3 parts Silky Dark Chocolate and 1 part Smooth White Chocolate Percent cocoa of a mixture of 2 parts Rich Milk Chocolate and 1 part Silky Dark Chocolate

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Director
Joined: 03 Sep 2017
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Kudos [?]: 330 [2] , given: 66

Re: Silky Dark Chocolate is 80% cocoa. Rich Milk Chocolate is [#permalink]  21 Oct 2017, 07:23
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Assume each part of chocolate is 100 (grams or whatever). Then quantity A contains $$\frac{3*80+0}{400}*100 = 60%$$ cocoa, while quantity B contains $$\frac{2*50+80}{300}*100 = 60%$$ cocoa.

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Joined: 08 Apr 2018
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Kudos [?]: 15 [1] , given: 16

Re: Silky Dark Chocolate is 80% cocoa. Rich Milk Chocolate is [#permalink]  10 Jun 2018, 19:56
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Carcass wrote:

Silky Dark Chocolate is 80% cocoa.
Rich Milk Chocolate is 50% cocoa.
Smooth White Chocolate is 0 % cocoa.

 Quantity A Quantity B Percent cocoa of a mixture of 3 parts Silky Dark Chocolate and 1 part Smooth White Chocolate Percent cocoa of a mixture of 2 parts Rich Milk Chocolate and 1 part Silky Dark Chocolate

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

I've never solved this correctly in practise, however, I just saw this today and my solution to get C is below:

QTY A = 400%, adding all the cocoa mixtures = 240%. So 240/400 = 3/5
QTY B = 300%, adding all the cocoa = 180%. So 180/300 = 3/5

Hope this helps someone who struggled with this as much as I did.
Re: Silky Dark Chocolate is 80% cocoa. Rich Milk Chocolate is   [#permalink] 10 Jun 2018, 19:56
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