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# Glass A and glass B both contain a mixture of alcohol and

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Senior Manager
Joined: 05 May 2003
Posts: 424
Location: Aus
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Kudos [?]: 10 [0], given: 0

Glass A and glass B both contain a mixture of alcohol and  [#permalink]

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05 Jan 2004, 08:25
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0% (00:00) correct 100% (04:10) wrong based on 2 sessions

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Glass A and glass B both contain a mixture of alcohol and
water. The ratio of alcohol to water in glass A is 1 to 3.
The ratio of alcohol to water in glass B is 1 to 9. 8 ounces
of the mixture in glass A is taken and mixed into glass B.
Then, 16 ounces of the mixture in glass B is taken and mixed
into glass A. If both glasses originally contained 40 ounces
of mixture, what is the final ratio of alcohol to water in
glass A?

A. 1:7
B. 2:7
C. 1:3
D. 5:19
E. 10:27
Senior Manager
Joined: 05 May 2003
Posts: 424
Location: Aus
Followers: 2

Kudos [?]: 10 [0], given: 0

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05 Jan 2004, 09:49
Is there a shortcut to do this problem rather than going one after the other solving it ?
Director
Joined: 28 Oct 2003
Posts: 501
Location: 55405
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05 Jan 2004, 10:09
Geethu--

Do we really need a shortcut to do the problem?

It should take about 90 seconds...

I'm not trying to be a jerk, I'm serious-- The problem has only two steps...
Director
Joined: 14 Oct 2003
Posts: 583
Location: On Vacation at My Crawford, Texas Ranch
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Kudos [?]: 53 [0], given: 0

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05 Jan 2004, 10:20
Geethu wrote:
Is there a shortcut to do this problem rather than going one after the other solving it ?

Even the "long way" is not too long

A 10:30=40
B 4:36=40

take 8 oz from A
divide by 5
2:6 (your left with 8:24 in A)

Now you have 6:42 in B
take 16 oz
thus divide by 3 take 2:14 from B and add to A
now you have 10:38 = 5/19

like high school chemistry again - do i miss those years!
Senior Manager
Joined: 05 May 2003
Posts: 424
Location: Aus
Followers: 2

Kudos [?]: 10 [0], given: 0

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05 Jan 2004, 10:27
Stoolfi, when i could understand the problem very easily i couldn't do it without going through the steps.

Thanks to all of you.
05 Jan 2004, 10:27
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# Glass A and glass B both contain a mixture of alcohol and

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