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A certain punch contains grape juice, orange juice, and pineapple juice and no other ingredients in a ratio of \(2:3:7\)

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A certain punch contains grape juice, orange juice, and pineapple juice and no other ingredients in a ratio of \(2:3:7\)

by Vincen » Sat Jan 30, 2021 10:32 pm

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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?

1. 13
2. 26
3. 39
4. 91
5. 130

Answer: B

Source: Princeton Review
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Re: A certain punch contains grape juice, orange juice, and pineapple juice and no other ingredients in a ratio of \(2:3

by Brent@GMATPrepNow » Sun Jan 31, 2021 7:14 am
Vincen wrote: ↑
Sat Jan 30, 2021 10:32 pm
 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?

1. 13
2. 26
3. 39
4. 91
5. 130

Answer: B

Source: Princeton Review
Given: grape juice : orange juice : pineapple juice = 2 : 3 : 7
2 + 3 + 7 = 12.
So, every 12 ounces of punch contains 2 ounces of grape juice, 3 ounces of orange juice, and 7 ounces of pineapple juice.
This means that 2/12 of the punch consists of grape juice

The bowl contains 156 oz of punch

2/12 of 156 = 1/6 of 156 = (1/6)(156) = 156/6 = 26.

Answer: B

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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