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Bunuel
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Bunuel
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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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.
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Wilfy
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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Thanks Brunel, appreciate the help. I'll be sure to take a look there.

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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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Bunuel
Wilfy
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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Bunuel
Wilfy
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
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rhine29388
Bunuel
Wilfy
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

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

Lets convert everything to pint = 7.5 *8 = 60

BM : OJ : BR -------- 6x : 3x : x

10 x = 60
X = 6

OJ = 3x = 3*6 = 18 pints

Answer - B
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B:O O:R
2:1 3:1

B:O:R
6:3:1

3/10 * 15*2 * 8 = 18
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