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
The OA is B.
Please, can any expert explain this PS question for me? I tried to solve it but I can't get the correct answer. I need your help. Thanks.
An incredible punch is composed of buttermilk...
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- DavidG@VeritasPrep
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Call the Brandy amount 'B.' If there's three times as much orange juice, there'd be '3B' gallons. And if there were twice as much buttermilk as orange juice, there'd be 6B gallons of bulltermilk. To summarize:swerve 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
The OA is B.
Please, can any expert explain this PS question for me? I tried to solve it but I can't get the correct answer. I need your help. Thanks.
Brandy: B
Orange Juice: 3B
Buttermilk: 6B
Total: 10B
We know this should sum to 7.5 gallons of punch, so 10B = 7.5 --> B = .75 = 3/4
Total gallons of orange juice: 3B = 3(3/4) = 9/4
9/4 gallons = 9/4 * 8 = 18 pints. The answer is B
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- Jeff@TargetTestPrep
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We need to make 7½ gallons of punch, or 7½ x 8 = 60 pints of punch. We can let x = the number of pints of brandy needed; thus, 3x = the number of pints of orange juice and 2(3x) = 6x = the number of pints of buttermilk. We can create the following equation:swerve 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
6x + 3x + x = 60
10x = 60
x = 6
Thus, we need 3(6) = 18 pints of orange juice.
Answer: B
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