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The ratio, by volume, of baking soda to peroxide to water in [#permalink]
 01 Jun 2012, 11:19
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37% (01:12) wrong based on 3 sessions
The ratio, by volume, of baking soda to peroxide to water in a certain solution is 2:50:100. The solution will be altered so that the ratio of baking soda to water is halved while the ratio of baking soda to peroxide is doubled. How many cubic centimeters of water will this solution contain if the altered solution will contain 100 cubic centimeters of peroxide? A. 50 B. 200 C. 400 D. 625 E. 800 The Book does not show any answers. Hence I need to figure out if I have done them correctly or not. Please help me if you can. Would greatly appropriate it. Thanks.
Last edited by Bunuel on 29 Oct 2012, 14:25, edited 2 times in total.
OA added.
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Re: Ratio Problem 5 [#permalink]
01 Jun 2012, 11:58
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Re: Ratio Problem 5 [#permalink]
02 Jun 2012, 02:19
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souvik101990 wrote: Initially
B:P:W=2:50:100
That is B:P=2:50 and B:W=2:100
After altering the solution
B:P is halved i.e B:P now is 1:50
B:W is doubled i.e B:W now is 4:100
So in the new solution B:P:W=4:200:100
That makes P:W=2:1
So water = 50 cc
A is my choice My working is similar, only thing is probably the ratios are different B:P:W=2:50:100 That is B:P=2:50 and B:W=2:100 After altering the solution B:W is halved New B:w now is 1:100 (or 4:400) B:P is doubled New B:P now is 4:50 In new solution B:P:W = 4:50:400 or 8:100:800 When P is 100cc, Water is 800cc E, it is.
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Re: Ratio Problem 5 [#permalink]
02 Jun 2012, 02:26
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Re: The ratio, by volume, of baking soda to peroxide to water in [#permalink]
02 Jun 2012, 08:00
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phoenix9801 wrote: The Book does not show any answers. Hence I need to figure out if I have done them correctly or not. Please help me if you can. Would greatly appropriate it. Thanks.
The ratio, by volume, of baking soda to peroxide to water in a certain solution is 2:50:100. The solution will be altered so that the ratio of baking soda to water is halved while the ratio of baking soda to peroxide is doubled. How many cubic centimeters of water will this solution contain if the altered solution will contain 100 cubic centimeters of peroxide?
A. 50
B. 200
C. 400
D. 625
E. 800 Given: \frac{B}{{\frac{P}{W}}}=\frac{2}{{\frac{50}{100}}}; The ratio of baking soda to water is halved --> \frac{B}{W}=\frac{1}{2}*\frac{2}{100}=\frac{1}{100}=\frac{4}{400}; The ratio of baking soda to peroxide is doubled --> \frac{B}{P}=2*\frac{2}{50}=\frac{4}{50}; New ratio: \frac{B}{{\frac{P}{W}}}=\frac{4}{{\frac{50}{400}}} --> \frac{P}{W}=\frac{50}{400} --> if P=2*50=100 then W=2*400=800. Answer: E.
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Re: The ratio, by volume, of baking soda to peroxide to water in [#permalink]
04 Jun 2012, 12:44
Bunuel wrote: phoenix9801 wrote: The Book does not show any answers. Hence I need to figure out if I have done them correctly or not. Please help me if you can. Would greatly appropriate it. Thanks.
The ratio, by volume, of baking soda to peroxide to water in a certain solution is 2:50:100. The solution will be altered so that the ratio of baking soda to water is halved while the ratio of baking soda to peroxide is doubled. How many cubic centimeters of water will this solution contain if the altered solution will contain 100 cubic centimeters of peroxide?
A. 50
B. 200
C. 400
D. 625
E. 800 Given: \frac{B}{{\frac{P}{W}}}=\frac{2}{{\frac{50}{100}}}; The ratio of baking soda to water is halved --> \frac{B}{W}=\frac{1}{2}*\frac{2}{100}=\frac{1}{100}=\frac{4}{400}; The ratio of baking soda to peroxide is doubled --> \frac{B}{P}=2*\frac{2}{50}=\frac{4}{50}; New ratio: \frac{B}{{\frac{P}{W}}}=\frac{4}{{\frac{50}{400}}} --> \frac{P}{W}=\frac{50}{400} --> if P=2*50=100 then W=2*400=800. Answer: E. Dear Bunuel, could u pls explain why this "2*50" to P and "2*400" is taken?
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Re: The ratio, by volume, of baking soda to peroxide to water in [#permalink]
04 Jun 2012, 12:52
kashishh wrote: Bunuel wrote: phoenix9801 wrote: The Book does not show any answers. Hence I need to figure out if I have done them correctly or not. Please help me if you can. Would greatly appropriate it. Thanks.
The ratio, by volume, of baking soda to peroxide to water in a certain solution is 2:50:100. The solution will be altered so that the ratio of baking soda to water is halved while the ratio of baking soda to peroxide is doubled. How many cubic centimeters of water will this solution contain if the altered solution will contain 100 cubic centimeters of peroxide?
A. 50
B. 200
C. 400
D. 625
E. 800 Given: \frac{B}{{\frac{P}{W}}}=\frac{2}{{\frac{50}{100}}}; The ratio of baking soda to water is halved --> \frac{B}{W}=\frac{1}{2}*\frac{2}{100}=\frac{1}{100}=\frac{4}{400}; The ratio of baking soda to peroxide is doubled --> \frac{B}{P}=2*\frac{2}{50}=\frac{4}{50}; New ratio: \frac{B}{{\frac{P}{W}}}=\frac{4}{{\frac{50}{400}}} --> \frac{P}{W}=\frac{50}{400} --> if P=2*50=100 then W=2*400=800. Answer: E. Dear Bunuel, could u pls explain why this "2*50" to P and "2*400" is taken? We have that \frac{P}{W}=\frac{50}{400} and P=100=2*50. Now, if P=100 then in order \frac{P}{W}=\frac{50}{400} to hold true W must be 800=2*400. Or simply: \frac{P}{W}=\frac{50}{400}=\frac{100}{800}.
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RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory
COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. NEW!!!
DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!
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Re: The ratio, by volume, of baking soda to peroxide to water in
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04 Jun 2012, 12:52
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