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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% (02:34) correct
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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%
_________________
Ever Tried? Ever Failed? No Matter. Try Again. Fail Again. Fail Better!!
Re: A brown flask contains a concoction that is 20% alcohol.
[#permalink]
26 Jun 2020, 06:22
26 Jun 2020, 06:22
4
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
_________________
If you found my explanation useful, please do not hesitate to click the karma button 
Re: A brown flask contains a concoction that is 20% alcohol.
[#permalink]
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?
_________________
Ever Tried? Ever Failed? No Matter. Try Again. Fail Again. Fail Better!!
Re: A brown flask contains a concoction that is 20% alcohol.
[#permalink]
03 Feb 2021, 05:01
03 Feb 2021, 05:01
1
Farina
Hi.
How can you say 30% of 20% of the volume in the flask by just 30% of 20 is 6?
We are not provided with the information about the total liquid capacity right?
Sorry if am wrong here. I tried hard , but without the capacity or volume mentioned was stuck half way through. Seeing your solution I was puzzled if am going wrong anywhere.
pls clarify
Hi.
How can you say 30% of 20% of the volume in the flask by just 30% of 20 is 6?
We are not provided with the information about the total liquid capacity right?
Sorry if am wrong here. I tried hard , but without the capacity or volume mentioned was stuck half way through. Seeing your solution I was puzzled if am going wrong anywhere.
pls clarify
Re: A brown flask contains a concoction that is 20% alcohol.
[#permalink]
22 Jul 2023, 02:01
22 Jul 2023, 02:01
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