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The ratio, by volume, of salt to sugar to water in a certain solution

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Bunuel
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The ratio, by volume, of salt to sugar to water in a certain solution [#permalink] New post   22 Aug 2019, 00:09
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The ratio, by volume, of salt to sugar to water in a certain solution is 3:5:7. The solution will be altered so the ratio of sugar to salt is doubled while the ratio of sugar to water is maintained. If altered solution will contain 7 cubic centimeters of water, how many cubic centimeters of salt will it contain?

A. 1.5
B. 3
C. 5
D. 10
E. 14
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A
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The ratio, by volume, of salt to sugar to water in a certain solution [#permalink] New post   Updated on: 22 Aug 2019, 22:57
Bunuel wrote:
The ratio, by volume, of salt to sugar to water in a certain solution is 3:5:7. The solution will be altered so the ratio of sugar to salt is doubled while the ratio of sugar to water is maintained. If altered solution will contain 7 cubic centimeters of water, how many cubic centimeters of salt will it contain?

A. 1.5
B. 3
C. 5
D. 10
E. 14


given
Sugar:Salt:Water = 5:3:7
Sugar:Salt:Water = 10:3:14

14x=7x ; 0.5

final concentration of salt = 3*0.5; 1.5

imo a

Originally posted by Archit3110 on 22 Aug 2019, 04:58.
Last edited by Archit3110 on 22 Aug 2019, 22:57, edited 1 time in total.
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Re: The ratio, by volume, of salt to sugar to water in a certain solution [#permalink] New post   22 Aug 2019, 06:25
sugar is sg, salt is st, water is w
we have:
st:sg:w= 3:5:7
=>st/3=sg/5=w/7
sg/st=5/3
sugar/salt is doubled, so now it is 10/3
sugar/water is maintained => still 5/7
Then if water is 7 cubic meter, sugar is 5 and salt is 3/2=1.5
IMO: A
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Re: The ratio, by volume, of salt to sugar to water in a certain solution [#permalink] New post   22 Aug 2019, 06:38
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salt : sugar : water
3:5:7
sugar : salt : water will be;
5:3:7


sugar : salt is double while sugar : water remains the same
10 : 3 :14
5: 1.5 :7

so A
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Re: The ratio, by volume, of salt to sugar to water in a certain solution [#permalink] New post   22 Aug 2019, 12:55
Initial

Sugar:Salt:Water = 5:3:7

Final

Sugar:Salt:Water = 10:3:14

14x=7

x=0.5

Therefore, final concentration of salt = 3*0.5 = 1.5

Answer is (A)

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Re: The ratio, by volume, of salt to sugar to water in a certain solution [#permalink] New post   24 Aug 2019, 05:26
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Bunuel wrote:
The ratio, by volume, of salt to sugar to water in a certain solution is 3:5:7. The solution will be altered so the ratio of sugar to salt is doubled while the ratio of sugar to water is maintained. If altered solution will contain 7 cubic centimeters of water, how many cubic centimeters of salt will it contain?

A. 1.5
B. 3
C. 5
D. 10
E. 14


The original ratio is:

Salt : sugar : water = 3 : 5 : 7

Since sugar to salt is doubled, we have:

sugar/salt = 10/3

Since the ratio of sugar to water is maintained, we have:

sugar/water = 10/14

The new ratio is:

Salt : sugar : water = 3x : 10x : 14x

Since there are 7 cubic centimeters of water:

14x = 7

x = 1/2

Thus, salt is 3 x 1/2 = 1.5 cubic centimeters.

Answer: A
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Re: The ratio, by volume, of salt to sugar to water in a certain solution [#permalink] New post   21 Oct 2020, 22:20
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Re: The ratio, by volume, of salt to sugar to water in a certain solution [#permalink]
21 Oct 2020, 22:20
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