A certain punch contains grape juice, orange juice, and

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Princeton Review

A certain punch contains grape juice, orange juice, and pineapple juice and no other ingredients in a ratio of 2:3:7 respectively. If a bowl contains 156 ounces of this punch, how many ounces of grape juice does it contain?

A. 13
B. 26
C. 39
D. 91
E. 130

OA B

[GMATGuruNY]

Princeton Review

A certain punch contains grape juice, orange juice, and pineapple juice and no other ingredients in a ratio of 2:3:7 respectively. If a bowl contains 156 ounces of this punch, how many ounces of grape juice does it contain?

A. 13
B. 26
C. 39
D. 91
E. 130

The sum of the parts of the ratio = 2+3+7 = 12.
Thus -- of every 12 ounces -- 2 ounces are grape juice, 3 ounces are orange juice, and 7 ounces are pineapple juice.
Since grape juice constitutes 2 of every 12 ounces, the amount of grape juice is equal to 2/12 of the total:
(2/12)(156) = 2*13 = 26.

The correct answer is B.

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Hi All,

We're told that a certain punch contains grape juice, orange juice, and pineapple juice and no other ingredients in a ratio of 2:3:7 respectively and a bowl contains 156 total ounces of this punch. We're asked for the number of ounces of grape juice in the punch. This question can be approached in a number of different ways, including by just listing out the multiples until you get to the correct answer.

Based on the given ratio, we could have...
2 ounces grape juice + 3 ounces orange juice + 7 ounces pineapple juice --> 12 total ounces of punch

re: 2 + 3 + 7 = 12

Increasing each 'part' accordingly, we could have:
4 + 6 + 14 = 24 ounces of punch
6 + 9 + 21 = 36 ounces of punch
8 + 12 + 28 = 48 ounces of punch
Etc.

At this point, you should notice that we're increasing the total in 'sets' of 12 ounces, so we can divide 156 by 12.... 156/12 = 13 sets of 12 ounces. Each of those sets contains 2 ounces of grape juice, so we have (13)(2) = 26 ounces of grape juice in total.

Final Answer: B

GMAT assassins aren't born, they're made,
Rich

[Scott@TargetTestPrep]

Princeton Review

A certain punch contains grape juice, orange juice, and pineapple juice and no other ingredients in a ratio of 2:3:7 respectively. If a bowl contains 156 ounces of this punch, how many ounces of grape juice does it contain?

A. 13
B. 26
C. 39
D. 91
E. 130

OA B

Since the ingredients are mixed in a ratio of 2:3:7, there are 2x ounces of grape juice, 3x ounces of orange juice, and 7x ounces of pineapple juice in this punch for some number x.

We can create the equation:

2x + 3x + 7x = 156

12x = 156

x = 13

So there are 2(13) = 26 ounces of grape juice in the punch.

Answer: B