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A fudgemaker has 40 pounds of chocolate, 65% of which is dark chocolat

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A fudgemaker has 40 pounds of chocolate, 65% of which is dark chocolat  [#permalink]

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New post 21 Dec 2017, 19:47
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

91% (01:40) correct 9% (02:08) wrong based on 65 sessions

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A fudgemaker has 40 pounds of chocolate, 65% of which is dark chocolate. If she buys 10 more pounds of chocolate, 25% of which is dark chocolate, what percent of her chocolate will then be dark chocolate?

A. 48%
B. 51%
C. 54%
D. 57%
E. 60%

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Re: A fudgemaker has 40 pounds of chocolate, 65% of which is dark chocolat  [#permalink]

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New post 22 Dec 2017, 00:17
65% of 40 = 26
25% of 10 = 2.5

Total dark chocolate = 28.5
Total chocolate = 10+40 = 50

Total % of dark chocolate = (28.5/50)x2 = 57%
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A fudgemaker has 40 pounds of chocolate, 65% of which is dark chocolat  [#permalink]

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New post 22 Dec 2017, 17:53
Bunuel wrote:
A fudgemaker has 40 pounds of chocolate, 65% of which is dark chocolate. If she buys 10 more pounds of chocolate, 25% of which is dark chocolate, what percent of her chocolate will then be dark chocolate?

A. 48%
B. 51%
C. 54%
D. 57%
E. 60%

A weighted average approach:

\(.65(40) + .25(10) =\frac{x}{100}(40 + 10)\)

\(26 + 2.5 =\frac{50x}{100}\)

\(26 + 2.5 = \frac{1}{2}x\)

\(52 + 5 = x\)

\(x = 57\)
%

Answer D
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Re: A fudgemaker has 40 pounds of chocolate, 65% of which is dark chocolat  [#permalink]

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New post 23 Dec 2017, 09:24
Bunuel wrote:
A fudgemaker has 40 pounds of chocolate, 65% of which is dark chocolate. If she buys 10 more pounds of chocolate, 25% of which is dark chocolate, what percent of her chocolate will then be dark chocolate?

A. 48%
B. 51%
C. 54%
D. 57%
E. 60%


Dark from 40lbs: 65%*40 = 26lbs
Dark from 10lbs: 25%*10 = 2.5lbs
Dark from 50lbs: 26+2.5 = 28.5lbs

Percent of chocolate dark: \(\frac{dark}{chocolate}=\frac{28.5}{50}=\frac{57}{100}={57%}\)

(D) is the answer.
GMAT Club Bot
Re: A fudgemaker has 40 pounds of chocolate, 65% of which is dark chocolat &nbs [#permalink] 23 Dec 2017, 09:24
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A fudgemaker has 40 pounds of chocolate, 65% of which is dark chocolat

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