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A brown flask contains a concoction that is 20% alcohol.
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26 Jun 2020, 00:55
26 Jun 2020, 00:55
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Question Stats:
54% (02:31) correct
45% (03:00) wrong based on 61 sessions
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A brown flask contains a concoction that is 20% alcohol. A red flask contains a concoction with an unknown amount of alcohol. An equal amount of both flasks is poured into an empty jug. If the resulting mixture has an alcohol concentration that is 30% greater than the alcohol concentration of the brown flask, what percent alcohol did the red flask originally contain?
(A) 23%
(B) 25%
(C) 32%
(D) 33%
(E) 40%
(A) 23%
(B) 25%
(C) 32%
(D) 33%
(E) 40%
Re: A brown flask contains a concoction that is 20% alcohol.
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26 Jun 2020, 06:22
26 Jun 2020, 06:22
5
The brown flask contains 20% alcohol, the final mixture has an alcohol content thats 30% greater than the brown flask concentration.
20 * 1.30 = 26% - final alcohol concentration (30% greater than starting 20%)
Now basically if we combine 2 alcoholic mixtures in the equal amounts the resulting mixture will have the alcohol content of the average between the two percentages. (ex. if the two jugs have 20% and 22%, the combined mixture will be 21%)
To get 26% final concentration we must then have 32% alcohol in the red flask ([20+32]/2 = 26%)
So the answer is C
20 * 1.30 = 26% - final alcohol concentration (30% greater than starting 20%)
Now basically if we combine 2 alcoholic mixtures in the equal amounts the resulting mixture will have the alcohol content of the average between the two percentages. (ex. if the two jugs have 20% and 22%, the combined mixture will be 21%)
To get 26% final concentration we must then have 32% alcohol in the red flask ([20+32]/2 = 26%)
So the answer is C
General Discussion
Re: A brown flask contains a concoction that is 20% alcohol.
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07 Jul 2020, 06:11
07 Jul 2020, 06:11
2
30% of 20 is 6
so 20 + 6 = 26 which is the resultant mixture or our target to achieve.
Both mixture are added in equal quantity so we can take avg
(20+x)/2=26
x=32
Though I would like to know that how can we apply allegation method here?
so 20 + 6 = 26 which is the resultant mixture or our target to achieve.
Both mixture are added in equal quantity so we can take avg
(20+x)/2=26
x=32
Though I would like to know that how can we apply allegation method here?
