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

Question

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

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

Archit3110 · Answer

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

deplehehe · Answer

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

Arhymh · Answer

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

firas92 · Answer

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)

Posted from my mobile device

ScottTargetTestPrep · Answer

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

luisdicampo · Answer

Deconstructing the Question

Initial ratio (salt : sugar : water) =  3 : 5 : 7 .
The solution is altered so that the ratio  sugar : salt  is doubled, while  sugar : water  is maintained.
In the altered solution, water =  7  cm^3. Find the salt amount.

Step-by-step

Maintain sugar:water:
 	ext{sugar}:	ext{water} = 5:7 
If water =  7 , then sugar =  5 .

Originally:
 \frac{	ext{sugar}}{	ext{salt}} = \frac{5}{3}

Doubled:
 \frac{	ext{sugar}}{	ext{salt}} = 2\cdot\frac{5}{3} = \frac{10}{3} 
So:
 	ext{sugar}:	ext{salt} = 10:3

If sugar =  5 , then 10 parts = 5, so 1 part = 0.5.
Salt = 3 parts:
 3 \cdot 0.5 = 1.5

Answer: A (1.5)

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

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

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

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards