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The ratio, by volume, of soap to alcohol to water in a certa
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23 Jul 2020, 07:28
23 Jul 2020, 07:28
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Question Stats:
46% (02:01) correct
53% (02:16) wrong based on 105 sessions
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The ratio, by volume, of soap to alcohol to water in a certain solution is 2:50:100. The solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved. If the altered solution will contain 100 cubic centimeters of alcohol, how many cubic centimeters of water will it contain?
A. 50
B. 200
C. 400
D. 625
E. 800
A. 50
B. 200
C. 400
D. 625
E. 800
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Re: The ratio, by volume, of soap to alcohol to water in a certa
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23 Jul 2020, 07:53
23 Jul 2020, 07:53
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Carcass wrote:
The ratio, by volume, of soap to alcohol to water in a certain solution is 2:50:100. The solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved. If the altered solution will contain 100 cubic centimeters of alcohol, how many cubic centimeters of water will it contain?
A. 50
B. 200
C. 400
D. 625
E. 800
A. 50
B. 200
C. 400
D. 625
E. 800
S : A : W = 2 : 50 : 100
The solution will be altered so that the ratio of soap to alcohol is doubled
The ORIGINAL ratio is S : A = 2 : 50.
NEW ratio is S : A = 4 : 50
the ratio of soap to water is halved
The ORIGINAL ratio is S : W = 2 : 100
NEW ratio is S : W = 1 : 100
If the altered solution will contain 100 cubic centimeters of alcohol, how many cubic centimeters of water will it contain?
We need to COMBINE our two ratios.
Take S : W = 1 : 100 and create the EQUIVALENT ratio S : W = 4 : 400
We can now combine both ratios to get: S : A : W = 4 : 50 : 400
We want water = 100
So, take S : A : W = 4 : 50 : 400 and rewrite as S : A : W = 8 : 100 : 800
Answer: E
Cheers,
Brent
General Discussion
Re: The ratio, by volume, of soap to alcohol to water in a certa
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03 Feb 2021, 04:41
03 Feb 2021, 04:41
Hi Carcass GreenlightTestPrep
Isn't the ratio of soap to alcohol doubled means doubling both the soap and the alcohol ratio?
Isn't the ratio of soap to alcohol doubled means doubling both the soap and the alcohol ratio?
