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# By volume, cranberry juice makes up 12.5 percent of Bees punch and 25

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Math Expert
Joined: 02 Sep 2009
Posts: 58464
By volume, cranberry juice makes up 12.5 percent of Bees punch and 25  [#permalink]

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20 Nov 2018, 00:19
00:00

Difficulty:

55% (hard)

Question Stats:

66% (02:29) correct 34% (02:17) wrong based on 47 sessions

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By volume, cranberry juice makes up 12.5 percent of Bee's punch and 25 percent of Flo's punch. If 3 liters of Bee's punch are mixed with 6 liters of Flo's punch, approximately what percent of the mixture, by volume, is cranberry juice?Indicate all such ratios.

A. 6.25%
B. 18.75%
C. 20.83%
D. 33.33%
E. 50.00%

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Re: By volume, cranberry juice makes up 12.5 percent of Bees punch and 25  [#permalink]

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20 Nov 2018, 00:37
1
12.5% of 3 liters is 0.375 liters
25% of 6 liters is 1.5 liters

So out of total 9 liters of the mixture, 1.875 liters is cranberry juice.

$$\frac{1.875}{9}*100 = 20.83$$%

OPTION: C
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Re: By volume, cranberry juice makes up 12.5 percent of Bees punch and 25  [#permalink]

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20 Nov 2018, 06:57
Bunuel wrote:
By volume, cranberry juice makes up 12.5 percent of Bees punch and 25 percent of Flos punch. If 3 liters of Bees punch are mixed with 6 liters of Flos punch, approximately what percent of the mixture, by volume, is cranberry juice?Indicate all such ratios.

A. 6.25%
B. 18.75%
C. 20.83%
D. 33.33%
E. 50.00%

Vol of cranberry in Bees : 3*12.5/100= .375 and in Flo punch: 25*.06= 1.5
total: 1.5+.375= 1.875
%age of Cranberry would be 1.875/9 = 20.833% option C
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Re: By volume, cranberry juice makes up 12.5 percent of Bees punch and 25  [#permalink]

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25 Nov 2018, 11:41
The perks of memorising fractions to percentage
Always memorize few fractions
: 1/2 , 1/3 , 1/4 , 1/5 , 1/7 (rare) , 1/11 (rare)

Trick for 1/7 = 14.28
7*2 = 14 ... 14*2 =28

Once you memorize these fractions you can get almost all the fractions from 1/20 which are more than what GMAC asks.

Back to the question.
The moment I see 12.5% , I remember that this is half of 25 % , that means half of 1/4 = 1/8.

So (3*1/8 + 6*1/4)/9
Looks complicated isn't it?!

3/8 + 3/2 = 15/8
15/(8*9) = 15/72

Now 7.2 is 10% of 72
14.4 is 20% of 72
Therefore 15 will be slightly more than 20% .. option C

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By volume, cranberry juice makes up 12.5 percent of Bees punch and 25  [#permalink]

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26 May 2019, 13:13
=3X+6X
=3(12.5)+6(25)
=37.5+150
=187.5

=(187.5/900)*100
=20.83%
By volume, cranberry juice makes up 12.5 percent of Bees punch and 25   [#permalink] 26 May 2019, 13:13
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