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On a certain day, orangeade was made by mixing a certain [#permalink]
 08 Oct 2012, 02:01
Question Stats:
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34% (01:27) wrong based on 6 sessions
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions ProjectOn a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.60 per glass on the first day, what was the price per glass on the second day? (A) $015 (B) $0.20 (C) $0.30 (D) $0.40 (E) $0.45 Practice Questions
Question: 60
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Re: On a certain day, orangeade was made by mixing a certain [#permalink]
08 Oct 2012, 02:02
SOLUTIONOn a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.60 per glass on the first day, what was the price per glass on the second day?(A) $015 (B) $0.20 (C) $0.30 (D) $0.40 (E) $0.45 On the first day 1 unit of orange juice and 1 unit of water was used to make 2 units of orangeade; On the second day 1 unit of orange juice and 2 units of water was used to make 3 units of orangeade; So, the ratio of the amount of orangeade made on the first day to the amount of orangeade made on the second day is 2 to 3. Naturally the ratio of the # of glasses of orangeade made on the first day to the # of glasses of orangeade made on the second day is 2 to 3. We are told that "the revenue from selling the orangeade was the same for both days" so the revenue from 2 glasses on the first day equals to the revenue from 3 glasses on the second day. Say the price of the glass of the orangeade on the second day was $x then 2*0.6=3*x --> x=$0.4. Answer: D.
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Re: On a certain day, orangeade was made by mixing a certain [#permalink]
08 Oct 2012, 02:45
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Lets say on 1st day we can make 2 glasses of mixture with 1:1 ratio, There fore cost of 2 glasses of juice = 2 X .60 On the second day we will have 3 glasses of juice since we are mixing in a 1:2 ratio. Cost = 3 X P (P=cost per glass) Since revenue is same we can equate both cost, ie 2X .60 = 3 X P => P = .40 Hence Answer D
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Last edited by SOURH7WK on 08 Oct 2012, 03:33, edited 1 time in total.
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Re: On a certain day, orangeade was made by mixing a certain [#permalink]
08 Oct 2012, 03:07
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It is better to take smart numbers rather than getting confused in ratio's. So lets say on Day1 = 10 liters was sold ( Orange :Water, 5:5 lt) [1 glass = 1liter] So Revenue on Day1 = 10 * 0.6 Ratio on 2nd day ( Orange :Water, 5:10 lt) 15 lt = 15 glassess Day1 revenue = Day2 revenue 10 * 0.6 = 15 *x x = 0.4 Answer D
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Re: On a certain day, orangeade was made by mixing a certain [#permalink]
08 Oct 2012, 03:10
fameatop wrote: It is better to take smart numbers rather than getting confused in ratio's.
So lets say on Day1 = 10 liters was sold ( Orange :Water, 5:5 lt) [1 glass = 1liter]
So Revenue on Day1 = 10 * 0.6
Ratio on 2nd day ( Orange :Water, 5:10 lt) 15 lt = 15 glassess
Day1 revenue = Day2 revenue
10 * 0.6 = 15 *x
x = 0.4
Answer D +1 D nice explaination..!!
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Re: On a certain day, orangeade was made by mixing a certain [#permalink]
08 Oct 2012, 03:41
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Lets say two glasses (one glass juice + one glass water) were sold on the first day at 0.6$ per glass. Revenue on first day = 1.2$ So, revenue on second day = 1.2$ Three glass (one glass juice + 2 glasses water) were sold on second day. So, price per glass = 1.2/3 = 0.40$ Answer is D
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Re: On a certain day, orangeade was made by mixing a certain [#permalink]
08 Oct 2012, 09:58
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What a big misktake i was actually doing ..i was just assuming ..that if its .60 on first day..then .30 will be on second because of addding twwice water..
after luking at above solution ..i change took D too :D
well
10 +10=20 *.60=12
10 is orange juice and 10 litre water...
10+20=30..
10 is orange...20 litter is water ...as mentioned twice the amount..
12=30*x
12/30=4/10=.40=D=ans=:)
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Re: On a certain day, orangeade was made by mixing a certain [#permalink]
09 Oct 2012, 23:48
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Since solution by picking numbers is already given by many, hence to add to it the algebric solution is given below: Assume volume of Orange and water added on first day is each V. Hence total orangeade on day 1=V+V = 2V On day 2, volume of water is doubled, Hence total orangeade on day 2 = V + 2V = 3V Assume, volume of 1 glass = G For given question, if reveneue on Day 1 and Day 2 are same that would mean: 2 V * P1/ G = 3V *P2/G, where P1 and P2 are price per glass on Day1 and Day2 respectively. => P2 = 2/3 *P1 We have P1 = 0.60 hence, P2 = 2/3*0.60 = 0.40 Ans D Bunuel wrote: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions ProjectOn a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.60 per glass on the first day, what was the price per glass on the second day? (A) $015 (B) $0.20 (C) $0.30 (D) $0.40 (E) $0.45 Practice Questions
Question: 60
Page: 160
Difficulty: 600 GMAT Club is introducing a new project: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions ProjectEach week we'll be posting several questions from The Official Guide for GMAT® Review, 13th Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution. We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation. Thank you!
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Re: On a certain day, orangeade was made by mixing a certain [#permalink]
10 Oct 2012, 19:34
reached D by methodof substitution.. aftern a basic algebra..
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Re: On a certain day, orangeade was made by mixing a certain [#permalink]
11 Oct 2012, 13:42
SOLUTIONOn a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.60 per glass on the first day, what was the price per glass on the second day?(A) $015 (B) $0.20 (C) $0.30 (D) $0.40 (E) $0.45 On the first day 1 unit of orange juice and 1 unit of water was used to make 2 units of orangeade; On the second day 1 unit of orange juice and 2 units of water was used to make 3 units of orangeade; So, the ratio of the amount of orangeade made on the first day to the amount of orangeade made on the second day is 2 to 3. Naturally the ratio of the # of glasses of orangeade made on the first day to the # of glasses of orangeade made on the second day is 2 to 3. We are told that "the revenue from selling the orangeade was the same for both days" so the revenue from 2 glasses on the first day equals to the revenue from 3 glasses on the second day. Say the price of the glass of the orangeade on the second day was $x then 2*0.6=3*x --> x=$0.4. Answer: D. Kudos points given to everyone with correct solution. Let me know if I missed someone.
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PLEASE READ AND FOLLOW: 11 Rules for Posting!!!
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: On a certain day, orangeade was made by mixing a certain
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11 Oct 2012, 13:42
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