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Each gift certificate sold yesterday by a certain bookstore [#permalink]
 08 Oct 2012, 02:49
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The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions ProjectEach gift certificate sold yesterday by a certain bookstore cost either $10 or $50. If yesterday the bookstore sold more than 5 gift certificates that cost $50 each, what was the total number of gift certificates sold yesterday by the bookstore? (1) Yesterday the bookstore sold fewer than 10 gift certificates that cost $10 each. (2) The total cost of gift certificates sold yesterday by the bookstore was $460. Practice Questions
Question: 57
Page: 279
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Re: Each gift certificate sold yesterday by a certain bookstore [#permalink]
08 Oct 2012, 02:50
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SOLUTIONEach gift certificate sold yesterday by a certain bookstore cost either $10 or $50. If yesterday the bookstore sold more than 5 gift certificates that cost $50 each, what was the total number of gift certificates sold yesterday by the bookstore?Let x be the number of $10 gift certificates and y be the number of $50 gift certificates. Given: y > 5. Question: x + y = ?. (1) Yesterday the bookstore sold fewer than 10 gift certificates that cost $10 each. x<10. clearly insufficient. (2) The total cost of gift certificates sold yesterday by the bookstore was $460. 10x+50y=460. Several pairs are possible: for example x=1 and y=9 as well as x=6 and y=8. Not sufficient. (1)+(2) x=1 and y=9 as well as x=6 and y=8 satisfy both statements. Not sufficient. Answer: E.
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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: Each gift certificate sold yesterday by a certain bookstore [#permalink]
08 Oct 2012, 03:15
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Let x be $10 Certificate & y be $50 Certificate, We need to find value of x+y=? ST1: Insufficient: SInce x<10, x can take any value from 0 to 9 & Since y >5, y can take any value greater than 5. So x+y will have multiple values. ST2: Insufficient: Given: 10x+50y =460, x>5, So multiple combination can satisfy this equation, for example (x,y) = (9,1), (8,6),..... 1+2: Still insufficient for above reason in ST2. Hence answer E.
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Re: Each gift certificate sold yesterday by a certain bookstore [#permalink]
08 Oct 2012, 03:26
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Let the no of $10 & $50 certificates is x & y respectively Question is x+y=? Given y>5 Note:- x & y can only take positive integer values 1) x<10 ---> Not sufficient 2) 10x + 50y = 460 ----> x + 5y = 46 Possible values of (x & y) are (16,6), (11,7), (6,8) ,(1,9) --->Insufficient 1+2) Given x<10 & y>5 , possible pairs are (6,8) ,(1,9) ----> No unique value -->Insufficient Answer E
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Re: Each gift certificate sold yesterday by a certain bookstore [#permalink]
08 Oct 2012, 05:13
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Let Y = # of gift certificates sold with a value of 50. Let X = # of gift certificates sold with a value of 10. Y > 5 Find X + Y1) X < 10 The solution could be 16X + 6Y = 460 or it could be 6X + 9Y = 390 Insufficient2) 10X + 50Y = 460 The solution could be 16X + 6Y = 460 or it could be 1X + 9Y = 460 InsufficientCombining 1 + 2 X < 10, 10X + 50Y = 460 The solution could be 1X + 9Y = 460 (Total of 10) or it could be 16X + 6Y = 460 (Total of 22) Insufficient
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Re: Each gift certificate sold yesterday by a certain bookstore [#permalink]
09 Oct 2012, 07:14
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Bunuel wrote: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions ProjectEach gift certificate sold yesterday by a certain bookstore cost either $10 or $50. If yesterday the bookstore sold more than 5 gift certificates that cost $50 each, what was the total number of gift certificates sold yesterday by the bookstore? (1) Yesterday the bookstore sold fewer than 10 gift certificates that cost $10 each. (2) The total cost of gift certificates sold yesterday by the bookstore was $460. let x be the nos of 10$ copies and y be nos of 50$ copies so x10 + y50 = some value stem also says y>5 Question x+y = ? Statement 1/ x<10 (from stem y>5) many combinations are possible for x+y so NS Statment 2/ x10 + y50 = 460 As y> 5 then we can find out the possible values for x x10 + 300 = 460 ............ when y = 6 then x=16 x10 + 350 = 460 ................. y=7 then x=11 x10 + 400 = 460..................y=8 then x=6 x10 + 450 = 460 .............y=9 then x=1 on solving above we can get x = 16,11,6,1 Nt sufficient to calcuate value of x+y Combined we know y>5 and x <10 even then we have 2 value pairs for (x,y) = (6,8) (1,9) so E
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Re: Each gift certificate sold yesterday by a certain bookstore [#permalink]
09 Oct 2012, 09:30
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Each gift certificate sold yesterday by a certain bookstore cost either $10 or $50. If yesterday the bookstore sold more than 5 gift certificates that cost $50 each, what was the total number of gift certificates sold yesterday by the bookstore? (1) Yesterday the bookstore sold fewer than 10 gift certificates that cost $10 each. (2) The total cost of gift certificates sold yesterday by the bookstore was $460. Statement 1: Insufficient We don't know the exact number of gift certificates sold, there could be more than one solution. Statement 2: Insufficient Same as in the statement 1, there could be one 10$ gift certificate and nine 50$ gift certificates...or sixteen 10$ gift certificates and six 50$ gift certificates. Together statements don't provide the solution, so the answer is E.
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Re: Each gift certificate sold yesterday by a certain bookstore [#permalink]
11 Oct 2012, 14:04
SOLUTIONEach gift certificate sold yesterday by a certain bookstore cost either $10 or $50. If yesterday the bookstore sold more than 5 gift certificates that cost $50 each, what was the total number of gift certificates sold yesterday by the bookstore?Let x be the number of $10 gift certificates and y be the number of $50 gift certificates. Given: y > 5. Question: x + y = ?. (1) Yesterday the bookstore sold fewer than 10 gift certificates that cost $10 each. x<10. clearly insufficient. (2) The total cost of gift certificates sold yesterday by the bookstore was $460. 10x+50y=460. Several pairs are possible: for example x=1 and y=9 as well as x=6 and y=8. Not sufficient. (1)+(2) x=1 and y=9 as well as x=6 and y=8 satisfy both statements. Not sufficient. Answer: E. 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: Each gift certificate sold yesterday by a certain bookstore [#permalink]
26 Feb 2013, 04:40
not easy at all. I pick many numbers.
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Re: Each gift certificate sold yesterday by a certain bookstore
[#permalink]
26 Feb 2013, 04:40
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