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A certain punch contains grape juice, orange juice, and pineapple juic

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Bunuel
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A certain punch contains grape juice, orange juice, and pineapple juic [#permalink] New post   17 Sep 2019, 22:05
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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 of this punch contains 21 ounces of orange juice, how many ounces of pineapple juice does it contain

A. 12
B. 14
C. 21
D. 49
E. 84
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D
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Re: A certain punch contains grape juice, orange juice, and pineapple juic [#permalink] New post   17 Sep 2019, 22:24
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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

let grape juice = 2x
orange juice = 3x
pineapple juice = 7x

given punch contains orange juice = 21 ounces

21 = 3x
x = 7

ounces of pineapple juice = 7x = 7*7 = 49

D is the correct answer
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Re: A certain punch contains grape juice, orange juice, and pineapple juic [#permalink] New post   17 Sep 2019, 22:32
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Sum the ratios = 2+3+7 = 12.
If there are 12 ounces, there would be: 2 ounces of grape juice, 3 ounces of orange juice, and 7 ounces of pineapple juice.
Now a bowl contains 21 ounces of orange juice. If 21 oz means 3/12, then how much oz for 9/12? it would be 63

Total oz in bowl = 63 + 21 = 84

Therefore, pineapple juice (oz) = 84 x 7/12 = 49.......Option D
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Re: A certain punch contains grape juice, orange juice, and pineapple juic [#permalink] New post   17 Sep 2019, 22:55
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Let the unknown value be x

Grape:Pineapple:Orange
2:7:3

total units=2+7+3=12

Total units of orange =21

3x/12=21
x=84

Now, for pineapple
7*84/12=49
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Re: A certain punch contains grape juice, orange juice, and pineapple juic [#permalink] New post   17 Sep 2019, 23:19
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g:o:p=2:3:7
so if there are 21 ounces of orange juice in the punch, let x be the total ounces of the punch, then
3x/12=21, then x=84.
pineapples =7/12 * 84 =49.

Answer is therefore D.
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Re: A certain punch contains grape juice, orange juice, and pineapple juic [#permalink] New post   17 Sep 2019, 23:38
Multiply the ratio by 7. It becomes 14:21:49. Hence for 21 ounces of orange, 49 ounces of pineapples are there

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Re: A certain punch contains grape juice, orange juice, and pineapple juic [#permalink] New post   17 Sep 2019, 23:44
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 of this punch contains 21 ounces of orange juice, how many ounces of pineapple juice does it contain

A. 12
B. 14
C. 21
D. 49
E. 84

The ratio of grape juice, orange juice, and pineapple juice is
G:O:P = 2x : 3x : 7x

So when 3x = 21 ounces of Orange juice, the pineapple juice \(= 7 * \frac{21}{3} = 49\) ounces of juice

Answer (D).
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Re: A certain punch contains grape juice, orange juice, and pineapple juic [#permalink] New post   18 Sep 2019, 03:23
Quote:
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 of this punch contains 21 ounces of orange juice, how many ounces of pineapple juice does it contain

A. 12
B. 14
C. 21
D. 49
E. 84


g:o:p=2:3:7
total=12 parts
o=21=2x/12…x=21•12/2
p=3x/12=3(21•12/2)/12=49

Answer (D)
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Re: A certain punch contains grape juice, orange juice, and pineapple juic [#permalink] New post   18 Sep 2019, 03:55
3---->21
7---->X
X=21*7/3=49
Option D

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Re: A certain punch contains grape juice, orange juice, and pineapple juic [#permalink] New post   23 Sep 2019, 09:40
Expert Reply
Bunuel wrote:

Competition Mode Question



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 of this punch contains 21 ounces of orange juice, how many ounces of pineapple juice does it contain

A. 12
B. 14
C. 21
D. 49
E. 84


We can represent the amount of grape juice, orange juice, and pineapple juice by 2x, 3x, and 7x, respectively, for some x. Since there are 21 ounces of OJ, we have:

3x = 21

x = 7

Thus, there are 7 * 7 = 49 ounces of pineapple juice.

Answer: D
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Re: A certain punch contains grape juice, orange juice, and pineapple juic [#permalink]
23 Sep 2019, 09:40
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