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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: 427
Location: Aus
Followers: 2

Kudos [?]: 5 [0], given: 0

Glass A and glass B both contain a mixture of alcohol and  [#permalink]  05 Jan 2004, 07:25
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 100% (04:10) wrong based on 1 sessions
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: 427
Location: Aus
Followers: 2

Kudos [?]: 5 [0], given: 0

Is there a shortcut to do this problem rather than going one after the other solving it ?
Director
Joined: 28 Oct 2003
Posts: 503
Location: 55405
Followers: 1

Kudos [?]: 8 [0], given: 0

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: 589
Location: On Vacation at My Crawford, Texas Ranch
Followers: 1

Kudos [?]: 8 [0], given: 0

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: 427
Location: Aus
Followers: 2

Kudos [?]: 5 [0], given: 0

Stoolfi, when i could understand the problem very easily i couldn't do it without going through the steps.

Thanks to all of you.
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