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What is the total number of coins that Bert and Claire have? [#permalink]
 15 Oct 2012, 04:53
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The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions ProjectWhat is the total number of coins that Bert and Claire have? (1) Bert has 50 percent more coins than Claire. (2) The total number of coins that Bert and Claire have is between 21 and 28. Practice Questions
Question: 65
Page: 280
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 solution. 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: What is the total number of coins that Bert and Claire have? [#permalink]
15 Oct 2012, 04:53
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Re: What is the total number of coins that Bert and Claire have? [#permalink]
15 Oct 2012, 04:59
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1) Let of no of coins with Claire = 2x Let of no of coins with Bert = 3x 2x+3x = 5x --->x can take any value - Insufficient 2) No of coins can take any integer value from 21 to 28- Insufficient 1+2) Total no of coins must be a multiple of 5 & between 21 & 28. Only possible integer value is 25--->Sufficient Answer C
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Re: What is the total number of coins that Bert and Claire have? [#permalink]
15 Oct 2012, 06:39
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Bunuel wrote: What is the total number of coins that Bert and Claire have?
(1) Bert has 50 percent more coins than Claire.
(2) The total number of coins that Bert and Claire have is between 21 and 28.
let the total number of coins be t. Stamnt A: B = 1.5C --> not sufficient Statment B: 21<B+C <28 usinng both: T = B+C = c+1.5c =2.5c now: anythig between 21 and 28 which is a multiple of 2.5 is 22.5/25/27.5 Since coins cannot be in decimal points , we are left with only one option that is t=25. thus, OA: C using both A and B together Whats the OA?
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Re: What is the total number of coins that Bert and Claire have? [#permalink]
15 Oct 2012, 09:44
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1) Bert can have 10, Claire can have 15 OR Bert can have 20, Claire can have 30. Not sufficient. 2) Clearly not sufficient Both together 1.5 B + B = 2.5 B= x. The only number in the range to give an integer value for B is 25. So, answer is C
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Re: What is the total number of coins that Bert and Claire have? [#permalink]
16 Oct 2012, 05:47
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We need to find out B + C statement 1 B=0.5C+C insufficient can't get a value statement 2 21<B+C<28 again no value insufficient combining 1 and 2 21<1.5C+C<28 21<2.5C<28 ( multiply by 2) 42<5C<56 so now the values for 5c are the multiples between 42 and 56 so we have 3 values 5C=45 >>> C=9 5C=50 >>> C=10 5C=55 >>> C=11 but we need to satisfy the condition that B=1.5C this is only possible when C = 10 since we need an integer value so 11 and 9 are ruled out B+C=10+15=25 So the answer is C.
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Re: What is the total number of coins that Bert and Claire have? [#permalink]
16 Oct 2012, 06:04
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If Bert has B coins and Claire has C coins. Then total number of coins =B+C From Statement 1 B =1.5 C or B/C=3/2 Ratio of B and C is 3:2 => Only inference from this we can make is, total number must be a multiple of 5. Not sufficient From statement 2 21<=B+C<=28 Multiple values for B+C - not sufficient Combining the information from statement 1 and 2. Total number of coins = 25 Hence C. Bunuel wrote: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions ProjectWhat is the total number of coins that Bert and Claire have? (1) Bert has 50 percent more coins than Claire. (2) The total number of coins that Bert and Claire have is between 21 and 28. Practice Questions
Question: 65
Page: 280
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 solution. 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: What is the total number of coins that Bert and Claire have? [#permalink]
19 Oct 2012, 05:46
SOLUTIONWhat is the total number of coins that Bert and Claire have?Question: B+C=?(1) Bert has 50 percent more coins than Claire --> B=1.5C. Not sufficient. (2) The total number of coins that Bert and Claire have is between 21 and 28 --> 21<B+C<28. Not sufficient. (1)+(2) Since from (1) B=1.5C and from (2) 21<B+C<28, then 21<1.5C+C<28 --> 21<2.5C<28. Three values of C satsify this inequality; 9, 10, and 11. But for 9 and 11, the value of B from B=1.5C. won't be an integer, thus C can only be 10 --> B=1.5C=15 --> B+C=25. Sufficient. Answer: C. 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!!!
What are GMAT Club Tests?
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Re: What is the total number of coins that Bert and Claire have?
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19 Oct 2012, 05:46
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