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# An incredible punch is composed of buttermilk, orange juice, and brand

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Math Expert
Joined: 02 Sep 2009
Posts: 56267
An incredible punch is composed of buttermilk, orange juice, and brand  [#permalink]

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14 Feb 2016, 10:56
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25% (medium)

Question Stats:

78% (02:23) correct 22% (02:28) wrong based on 211 sessions

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An incredible punch is composed of buttermilk, orange juice, and brandy. How many pints of orange juice are required to make 7 1⁄2 gallons of punch containing twice as much buttermilk as orange juice and three times as much orange juice as brandy? (1 Gallon = 8 Pints )

A. 16
B. 18
C. 20
D. 22
E. 24

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Posts: 8
Re: An incredible punch is composed of buttermilk, orange juice, and brand  [#permalink]

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14 Feb 2016, 11:59
8 pints = 1 gallon
60 pints = 7.5 gallons

The ratio of Brandy to OJ to Buttermilk = 1:3:6

Answer choice B maintaining the ratio gives us a total of 60 pints.

6:18:36
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Re: An incredible punch is composed of buttermilk, orange juice, and brand  [#permalink]

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15 Feb 2016, 22:44
1 gallon = 8 pints
7.5 gallons = 60 pints

Buttermilk = 2 orange
orange = 3 brandy

buttermilk+orange+brandy = 60
2orange+orange+1/3orange = 60
10 orange = 180
orange = 18 pints

ans;B
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Joined: 14 Dec 2014
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Concentration: Technology
Re: An incredible punch is composed of buttermilk, orange juice, and brand  [#permalink]

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17 Feb 2016, 18:01
1
Bunuel wrote:
An incredible punch is composed of buttermilk, orange juice, and brandy. How many pints of orange juice are required to make 7 1⁄2 gallons of punch containing twice as much buttermilk as orange juice and three times as much orange juice as brandy?

A. 16
B. 18
C. 20
D. 22
E. 24

Step #1: Ratio of Milk (M) : Orange (O): Brand (B) --> Milk = 2O: Orange= 3B: B=B
Step #2: Convert the ratio to one variable: 2O = 2 * 3B = 6B --> New Ratio: 6B:3B:B
Step #3: Solve the ratio for 7.5 gallons --> 10B = 7.5 --> B = .75
Step #4: How many pints of orange juice are needed --> 3 * .75 = 2.25 Gallons
Step #5: Convert gallons to pints* (I had to look this conversion up ... is this something to memorize for the gmat?) 1 gallon = 8 pints --> 2.25 * 8 = 18 pints

Answer B
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Re: An incredible punch is composed of buttermilk, orange juice, and brand  [#permalink]

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26 Mar 2016, 09:29
Hi, answer seems fairly straight forward, however as a metric-loving Canadian, will they provide conversions like this (8 pints per gallon) on the GMAT?

Not a huge deal, just curious.
Math Expert
Joined: 02 Sep 2009
Posts: 56267
Re: An incredible punch is composed of buttermilk, orange juice, and brand  [#permalink]

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26 Mar 2016, 10:35
Wilfy wrote:
Hi, answer seems fairly straight forward, however as a metric-loving Canadian, will they provide conversions like this (8 pints per gallon) on the GMAT?

Not a huge deal, just curious.

The question itself will supply the relative conversions. Though you should have a few basic ones memorized: 1 hour = 60 minutes, ...

Check other Conversion problems to practice in Special Questions Directory.
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Re: An incredible punch is composed of buttermilk, orange juice, and brand  [#permalink]

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26 Mar 2016, 10:37
Thanks Brunel, appreciate the help. I'll be sure to take a look there.

Posted from my mobile device
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Joined: 07 Dec 2014
Posts: 1206
Re: An incredible punch is composed of buttermilk, orange juice, and brand  [#permalink]

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22 Apr 2016, 16:43
1
orange juice comprises 3/10 of punch
7.5 gallons=60 pints
let j=pints of orange juice required
60/j=10/3
j=18 pints
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Re: An incredible punch is composed of buttermilk, orange juice, and brand  [#permalink]

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23 Apr 2016, 02:45
Bunuel wrote:
Wilfy wrote:
Hi, answer seems fairly straight forward, however as a metric-loving Canadian, will they provide conversions like this (8 pints per gallon) on the GMAT?

Not a huge deal, just curious.

The question itself will supply the relative conversions. Though you should have a few basic ones memorized: 1 hour = 60 minutes, ...

Check other Conversion problems to practice in Special Questions Directory.

Same here. I don't know what gallons and pints are (everything is in kilos and liters over here). I spent 5 five minutes wondering what was wrong with my answer, please add the conversion rate in the question Bunuel. Thanks
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Re: An incredible punch is composed of buttermilk, orange juice, and brand  [#permalink]

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14 May 2016, 14:24
1
Bunuel wrote:
Wilfy wrote:
Hi, answer seems fairly straight forward, however as a metric-loving Canadian, will they provide conversions like this (8 pints per gallon) on the GMAT?

Not a huge deal, just curious.

The question itself will supply the relative conversions. Though you should have a few basic ones memorized: 1 hour = 60 minutes, ...

Check other Conversion problems to practice in Special Questions Directory.

[quote="Bunuel"]
Can you add the information regarding relation between pint and gallon in the question? It would become easier to solve such type of questions
Math Expert
Joined: 02 Sep 2009
Posts: 56267
Re: An incredible punch is composed of buttermilk, orange juice, and brand  [#permalink]

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15 May 2016, 06:27
rhine29388 wrote:
Bunuel wrote:
Wilfy wrote:
Hi, answer seems fairly straight forward, however as a metric-loving Canadian, will they provide conversions like this (8 pints per gallon) on the GMAT?

Not a huge deal, just curious.

The question itself will supply the relative conversions. Though you should have a few basic ones memorized: 1 hour = 60 minutes, ...

Check other Conversion problems to practice in Special Questions Directory.

Bunuel wrote:
Can you add the information regarding relation between pint and gallon in the question? It would become easier to solve such type of questions

_________________
Done. Thank you.
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An incredible punch is composed of buttermilk, orange juice, and brand  [#permalink]

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09 Dec 2016, 05:26
My 2 cents:

Buttermilk=2x Orange Juice

Orange juice= 3 x Brandy, meaning Brandy=Orange.j/3

Equation will be 7.5=Buttermilk+orange juice +brandy which will be 7.5=2*orange.j+Orange.j+Orange.j/3

to get ridd off fraction, multiply both sides with 3

22.5(gallons)=6*Orange.j+3*Orange.j+Orange.j , which is 22.5(Gallons)=10*orange.j

Answer is given in pints so we multiply 22.5*8=180 pints.

180=10*Orange.j
Number of Orange juice pints =18

Asnwer B

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Re: An incredible punch is composed of buttermilk, orange juice, and brand  [#permalink]

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23 Feb 2018, 01:29
Bunuel wrote:
An incredible punch is composed of buttermilk, orange juice, and brandy. How many pints of orange juice are required to make 7 1⁄2 gallons of punch containing twice as much buttermilk as orange juice and three times as much orange juice as brandy? (1 Gallon = 8 Pints )

A. 16
B. 18
C. 20
D. 22
E. 24

IMO B in these question we need to find ratio between buttermilk, orange juice and brandy which is bm:oj= 2:1, oj: b= 3:1 and all over bm:oj:b = 6:3:1 so total orange juice in 7 1⁄2 gallon is 15*3*8/2*10 = 18 pints.
*bm= buttermilk
*oj= orange juice
*b= brandy
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Intern
Joined: 19 Dec 2016
Posts: 2
Re: An incredible punch is composed of buttermilk, orange juice, and brand  [#permalink]

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26 May 2019, 12:57
Solution:

7.5x8=60 pints

Buttermilk+Orange Juice+Brandy=60
6X+3X+1X=60
10X=60
X=6

Question asks for orange juice pint requirement only. Therefore, 3X = 3(6) =18
Re: An incredible punch is composed of buttermilk, orange juice, and brand   [#permalink] 26 May 2019, 12:57
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# An incredible punch is composed of buttermilk, orange juice, and brand

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