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# A drink contains only 7 oz. of soda and 3 oz. of juice. A second drink

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Manager
Joined: 21 Jul 2003
Posts: 64

Kudos [?]: 50 [1], given: 3

A drink contains only 7 oz. of soda and 3 oz. of juice. A second drink [#permalink]

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02 Jan 2010, 08:01
1
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Difficulty:

45% (medium)

Question Stats:

66% (01:38) correct 34% (01:40) wrong based on 192 sessions

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A drink contains only 7 oz. of soda and 3 oz. of juice. A second drink that contains only soda and juice is poured into the first. How many oz. of liquid were poured in?

(1) After the second drink is poured in, 40% of the entire beverage is juice.
(2) 30% of the second drink was soda.
[Reveal] Spoiler: OA

Kudos [?]: 50 [1], given: 3

Senior Manager
Joined: 22 Dec 2009
Posts: 356

Kudos [?]: 418 [0], given: 47

Re: A drink contains only 7 oz. of soda and 3 oz. of juice. A second drink [#permalink]

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02 Jan 2010, 16:36
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This post was
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IMO C...

Explanation:

Original drink quantity = 7+3 = 10 oz.

Let x quanitity of second drink be added which has J% of juice in it.

Statement 1: After the second drink is poured in, 40% of the entire beverage is juice.

$$0.4 (10+X) = 3 + X*\frac{J}{100}$$which is not sufficient as J and X are unknown.

Statement 2: 30% of the second drink was soda
Given only J% of the second drink as 70% but no % of the new mixture. Hence not sufficient.

Combining 1 & 2, we get the answer as now we have J = 70 in Statement 1..

Hence C....

Cheers!
JT
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Kudos [?]: 418 [0], given: 47

Non-Human User
Joined: 09 Sep 2013
Posts: 15583

Kudos [?]: 283 [0], given: 0

Re: A drink contains only 7 oz. of soda and 3 oz. of juice. A second drink [#permalink]

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27 Jul 2015, 08:21
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Kudos [?]: 283 [0], given: 0

Non-Human User
Joined: 09 Sep 2013
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Kudos [?]: 283 [0], given: 0

Re: A drink contains only 7 oz. of soda and 3 oz. of juice. A second drink [#permalink]

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29 Oct 2016, 12:22
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Kudos [?]: 283 [0], given: 0

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Joined: 05 Jul 2006
Posts: 1749

Kudos [?]: 443 [0], given: 49

Re: A drink contains only 7 oz. of soda and 3 oz. of juice. A second drink [#permalink]

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13 Nov 2016, 10:25
A drink contains only 7 oz. of soda and 3 oz. of juice. A second drink that contains only soda and juice is poured into the first. How many oz. of liquid were poured in?

(1) After the second drink is poured in, 40% of the entire beverage is juice.
(2) 30% of the second drink was soda.

this is a weighted average problem , let W1 weight of first drink and w2 weight of 2nd drink and A2 = amount of juice in 2nd drink ( or percent) , WA is the weighted average of both drinks mix and A1 the amount of juice in 2nd drink (or percent)

w1/w2 = (A2-WA)/ (WA-A1), QUESTION ASKS FOR W2

FROM Stem we have A1 = 3/10 , W1 = 10 we need A2 and WA

FROM 1
GIVEN IS WA only .... insuff
from 2
given A2 only ... insuff

both we have A2 and WA and we can solve for w2.................C

Kudos [?]: 443 [0], given: 49

Re: A drink contains only 7 oz. of soda and 3 oz. of juice. A second drink   [#permalink] 13 Nov 2016, 10:25
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