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 Author: Bunuel [ 08 Apr 2020, 10:42 ] Post subject: The strength of a salt solution is p% if 100 ml of the solution contai The strength of a salt solution is p% if 100 ml of the solution contains p grams of salt. If three salt solutions A, B, C are mixed in the proportion 1 : 2 : 3, then the resulting solution has strength 20%. If instead the proportion is 3 : 2 : 1, then the resulting solution has strength 30%. A fourth solution, D, is produced by mixing B and C in the ratio 2 : 7. What is the ratio of the strength of D to that of A ?A. 3 : 10B. 1 : 3C. 2 : 5D. 1 : 4E. 1 : 5Are You Up For the Challenge: 700 Level Questions

 Author: smyarga [ 08 Apr 2020, 11:12 ] Post subject: Re: The strength of a salt solution is p% if 100 ml of the solution contai Let three salt solutions A, B, C have the strengths p%, q%, r% respectively. Using weights from ratio 1:2:3 we will have the equation$$\frac{p}{6}+\frac{2q}{6}+\frac{3r}{6}=20$$ or $$p+2q+3r=120$$Using weights from ration 3:2:1 we have the next equation$$\frac{3p}{6}+\frac{2q}{6}+\frac{r}{6}=30$$ or $$3p+2q+r=180$$If we subtract first equation from the second one, we obtain: 2p-2r=60 or r=p-30. If we put it in the second equation, we get 3p+2q+p-30=180 or 2q=210-4p or q=105-2pThe question is to find the ratio: $$(\frac{2q}{9}+\frac{7r}{9}):p=(210-4p+7p-210):9p=3p:9p=1:3$$The correct answer is B.

 Author: Kinshook [ 10 Apr 2020, 09:30 ] Post subject: Re: The strength of a salt solution is p% if 100 ml of the solution contai Bunuel wrote:The strength of a salt solution is p% if 100 ml of the solution contains p grams of salt. If three salt solutions A, B, C are mixed in the proportion 1 : 2 : 3, then the resulting solution has strength 20%. If instead the proportion is 3 : 2 : 1, then the resulting solution has strength 30%. A fourth solution, D, is produced by mixing B and C in the ratio 2 : 7. What is the ratio of the strength of D to that of A ?A. 3 : 10B. 1 : 3C. 2 : 5D. 1 : 4E. 1 : 5Are You Up For the Challenge: 700 Level QuestionsGiven: 1. The strength of a salt solution is p% if 100 ml of the solution contains p grams of salt. 2. If three salt solutions A, B, C are mixed in the proportion 1 : 2 : 3, then the resulting solution has strength 20%. 3. If instead the proportion is 3 : 2 : 1, then the resulting solution has strength 30%. 4. A fourth solution, D, is produced by mixing B and C in the ratio 2 : 7. Asked: What is the ratio of the strength of D to that of A ?Let the strength of solutions A, B & C be x%, y% & z% respectively2. If three salt solutions A, B, C are mixed in the proportion 1 : 2 : 3, then the resulting solution has strength 20%. (x + 2y + 3z) / 6 = 20x + 2y + 3z = 120 (1)3. If instead the proportion is 3 : 2 : 1, then the resulting solution has strength 30%. 3x + 2y + z = 180 (2) (1) + (2) 4x + 4y + 4z = 300x + y + z = 75 (3)2*(3) - (1) x - z = 30x = z + 30z = x - 30 (5) y = 75 - x - z = 75 - x - (x-30) = 105 - 2x (6) 4. A fourth solution, D, is produced by mixing B and C in the ratio 2 : 7. Strength of D = (2y +7z)/9The ratio of the strength of D to that of A = (2y + 7z)/9x = {2(105 -2x) +7(x-30)} / 9x = (210 - 4x + 7x - 210 )/9x = 3x/9x = 1/3IMO B

 Author: bumpbot [ 19 Jan 2023, 03:40 ] Post subject: Re: The strength of a salt solution is p% if 100 ml of the solution contai Hello from the GMAT Club BumpBot!Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.

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