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QOTD#26 By volume, cranberry juice makes up 12.5 percent
[#permalink]
23 May 2017, 01:15

Expert Reply

Question Stats:

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%

_________________

Indicate all such ratios.

A. 6.25%

B. 18.75%

C. 20.83%

D. 33.33%

E. 50.00%

Drill 1

Question: 9

Page: 338

Question: 9

Page: 338

_________________

Sandy

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If you found this post useful, please let me know by pressing the Kudos Button

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Re: QOTD#26 By volume, cranberry juice makes up 12.5 percent
[#permalink]
04 Jun 2017, 14:57

5

Expert Reply

Explanation

Estimate to solve this one.

The answer must be between 12.5 percent and 25 percent because you are mixing two punches with these percentages—eliminate all choices except choices (B) and (C).

Because there is more of Flo’s punch, the answer must be closer to 25 percent than to 12.5 percent, so choice C is correct.

_________________

Sandy

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Estimate to solve this one.

The answer must be between 12.5 percent and 25 percent because you are mixing two punches with these percentages—eliminate all choices except choices (B) and (C).

Because there is more of Flo’s punch, the answer must be closer to 25 percent than to 12.5 percent, so choice C is correct.

_________________

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Re: QOTD#26 By volume, cranberry juice makes up 12.5 percent
[#permalink]
26 May 2017, 19:27

2

Since 3 L of the 12.5% and 6 L of the 25% are mixed, the result has to be 9 L. To find the percentage:

3(.125) + 6(.25) = 9x

here x = percentage

.375 + 1.5 = 9x

solving for x

x = .2083333

3(.125) + 6(.25) = 9x

here x = percentage

.375 + 1.5 = 9x

solving for x

x = .2083333

Re: QOTD#26 By volume, cranberry juice makes up 12.5 percent
[#permalink]
09 Jul 2018, 18:36

sandy wrote:

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%

Indicate all such ratios.

A. 6.25%

B. 18.75%

C. 20.83%

D. 33.33%

E. 50.00%

Drill 1

Question: 9

Page: 338

Question: 9

Page: 338

Answer is c

Retired Moderator

Joined: **07 Jun 2014 **

Posts: **4804**

WE:**Business Development (Energy and Utilities)**

Re: QOTD#26 By volume, cranberry juice makes up 12.5 percent
[#permalink]
11 Jul 2018, 16:06

Expert Reply

Hi,

Please share your method. This helps other students as well.

Regards,

_________________

Sandy

If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Please share your method. This helps other students as well.

Regards,

_________________

If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Re: QOTD#26 By volume, cranberry juice makes up 12.5 percent
[#permalink]
06 Jul 2020, 07:03

0.125b + 0.25f = (b+f)x

0.125(3) + 0.25(6) = (3+6)x

1.875 = 9x

x=20.83%

_________________

0.125(3) + 0.25(6) = (3+6)x

1.875 = 9x

x=20.83%

_________________

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