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M19-25

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M19-25 [#permalink]

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A shop sells candy bars individually or in packs of 10. If the shop charges less for purchasing a pack of 10 candy bars than for purchasing 10 candy bars individually, then how much does the shop charge for purchasing a pack of 10 candy bars?


(1) The charge for purchasing a pack of 10 candy bars is $2 more than the charge for purchasing the 8 candy bars.

(2) The charge for purchasing a pack of 10 candy bars is 10 percent less than the charge for purchasing the 10 candy bars individually.

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Re M19-25 [#permalink]

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New post 16 Sep 2014, 01:06
Official Solution:


Say the price for purchasing a pack of 10 candy bars is \(x\) and the price for purchasing the candy bar individually is \(y\).

(1) The charge for purchasing a pack of 10 candy bars is $2 more than the charge for purchasing the 8 candy bars. Given: \(x=8y+2\). Two unknowns one equation. Not sufficient to calculate \(x\).

(2) The charge for purchasing a pack of 10 candy bars is 10 percent less than the charge for purchasing the 10 candy bars individually. Given: \(x=0.9*10y\). Two unknowns one equation. Not sufficient to calculate \(x\).

(1)+(2) We have two distinct linear equations with two unknowns so we can solve for \(x\) and \(y\). Sufficient.


Answer: C
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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. ,11 Mixed Questions, 12 Fresh Meat

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., 11 New DS set.


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Re: M19-25 [#permalink]

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New post 04 Sep 2017, 01:18
Hi there

Just wondering if the first stmt could be true by itself?

From the facts we understand that one pack of 10 is cheaper than 10 individual bars. I.e. X < 10Y

From first statement we have that X-8Y=2

If X is less than 10Y but must be greater than 8Y, could we say that it should be 9Y here. Or am I am I just assuming that it should be an integer..
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Re: M19-25 [#permalink]

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New post 04 Sep 2017, 01:32
warmpied wrote:
Hi there

Just wondering if the first stmt could be true by itself?

From the facts we understand that one pack of 10 is cheaper than 10 individual bars. I.e. X < 10Y

From first statement we have that X-8Y=2

If X is less than 10Y but must be greater than 8Y, could we say that it should be 9Y here. Or am I am I just assuming that it should be an integer..


Yes, we are not told that x and y must be integers.
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Resources:
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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. ,11 Mixed Questions, 12 Fresh Meat

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., 11 New DS set.


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Re: M19-25 [#permalink]

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New post 20 Dec 2017, 20:07
Bunuel wrote:
warmpied wrote:
Hi there

Just wondering if the first stmt could be true by itself?

From the facts we understand that one pack of 10 is cheaper than 10 individual bars. I.e. X < 10Y

From first statement we have that X-8Y=2

If X is less than 10Y but must be greater than 8Y, could we say that it should be 9Y here. Or am I am I just assuming that it should be an integer..


Yes, we are not told that x and y must be integers.


Bunuel technically, how a candy bar can be integer.
I think answer should be A.
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Re: M19-25 [#permalink]

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New post 20 Dec 2017, 20:25
Adityagmatclub wrote:
Bunuel wrote:
warmpied wrote:
Hi there

Just wondering if the first stmt could be true by itself?

From the facts we understand that one pack of 10 is cheaper than 10 individual bars. I.e. X < 10Y

From first statement we have that X-8Y=2

If X is less than 10Y but must be greater than 8Y, could we say that it should be 9Y here. Or am I am I just assuming that it should be an integer..


Yes, we are not told that x and y must be integers.


Bunuel technically, how a candy bar can be integer.
I think answer should be A.


Your question is not clear.

x = 8y + 2. Consider two cases:

x = 18 and y = 2 (notice x < 10y is satisfied);
x = 26 and y = 3 (notice x < 10y is satisfied).
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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. ,11 Mixed Questions, 12 Fresh Meat

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., 11 New DS set.


What are GMAT Club Tests?
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Re: M19-25   [#permalink] 20 Dec 2017, 20:25
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