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M23-04

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M23-04  [#permalink]

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New post 16 Sep 2014, 00:18
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

82% (01:48) correct 18% (02:04) wrong based on 136 sessions

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For every dollar Jim earns, Joan earns $1.5 and for every two dollars Joan earns, Sam earns $1.6. If Sam earned $300, how much did Jim earn?

A. $180
B. $220
C. $250
D. $270
E. $300

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Re M23-04  [#permalink]

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New post 16 Sep 2014, 00:18
1
2
Official Solution:

For every dollar Jim earns, Joan earns $1.5 and for every two dollars Joan earns, Sam earns $1.6. If Sam earned $300, how much did Jim earn?

A. $180
B. $220
C. $250
D. $270
E. $300


Create the following equations:

\(\text{Joan }= 1.5 \text{Jim}\);

\(\text{Sam }= \frac{\text{Joan}}{2}1.6\).

Therefore, \(\text{Sam }= 1.5*\frac{\text{Jim}}{2}*1.6 = \text{Jim}*1.2\). Jim earned \(\frac{300}{1.2} = \frac{3000}{12} = $250\).


Answer: C
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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: M23-04  [#permalink]

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New post 11 Jun 2015, 09:53
Bunuel wrote:
Official Solution:

For every dollar Jim earns, Joan earns $1.5 and for every two dollars Joan earns, Sam earns $1.6. If Sam earned $300, how much did Jim earn?

A. $180
B. $220
C. $250
D. $270
E. $300


Create the following equations:

\(\text{Joan }= 1.5 \text{Jim}\);

\(\text{Sam }= \frac{\text{Joan}}{2}1.6\).

Therefore, \(\text{Sam }= 1.5*\frac{\text{Jim}}{2}*1.6 = \text{Jim}*1.2\). Jim earned \(\frac{300}{1.2} = \frac{3000}{12} = $250\).


Answer: C


Hello,
Can you please explain that how you got the equation \(\text{Sam }= \frac{\text{Joan}}{2}1.6\).
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Re: M23-04  [#permalink]

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New post 12 Jun 2015, 01:34
vik09 wrote:
Bunuel wrote:
Official Solution:

For every dollar Jim earns, Joan earns $1.5 and for every two dollars Joan earns, Sam earns $1.6. If Sam earned $300, how much did Jim earn?

A. $180
B. $220
C. $250
D. $270
E. $300


Create the following equations:

\(\text{Joan }= 1.5 \text{Jim}\);

\(\text{Sam }= \frac{\text{Joan}}{2}1.6\).

Therefore, \(\text{Sam }= 1.5*\frac{\text{Jim}}{2}*1.6 = \text{Jim}*1.2\). Jim earned \(\frac{300}{1.2} = \frac{3000}{12} = $250\).


Answer: C


Hello,
Can you please explain that how you got the equation \(\text{Sam }= \frac{\text{Joan}}{2}1.6\).


For every two dollars Joan earns, Sam earns $1.6. For example, if Joan earns $2, then Sam earns $1.6: \(\text{Sam }= \frac{\text{Joan}}{2}*1.6\).
_________________

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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: M23-04  [#permalink]

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New post 12 Jun 2015, 01:52
Thanks :)
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M23-04  [#permalink]

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New post 06 Nov 2015, 10:45
I think this is a high-quality question and I agree with explanation. Good question. Another route is to look at the ratios:
Jim : Joan is 2 : 3
Joan : Sam is 10 : 8
Jim : Joan : Sam is 20 : 30 : 24
Jim : Sam is 20 : 24 --> which simplifies to 5 : 6 ratio.
If Sam makes $300, then divide by 6 and times by 5 = $250
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For every one dollar jim earns , Joan earns $1.5 and for every $2  [#permalink]

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New post 13 Jul 2018, 14:01
For every $1 Jim earns , Joan earns $1.5 and for every $2 Joan earns , Jim earns $1.6. If Joan earned $300, how much did Jim earn?

A) 180
B) 220
C) 250
D) 270
E) 300
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Re: M23-04  [#permalink]

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New post 13 Jul 2018, 19:25
selim wrote:
For every $1 Jim earns , Joan earns $1.5 and for every $2 Joan earns , Jim earns $1.6. If Joan earned $300, how much did Jim earn?


The question as of now contradicts itself.

From first part we get \(\frac{Jim}{Joan} = \frac{1}{1.5} = \frac{2}{3}\)

From second part of the question, \(\frac{Joan}{Jim} = \frac{2}{1.6}\)
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M23-04  [#permalink]

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New post 16 Sep 2018, 03:43
Hi Bunuel
i tried in this way
Sam earns 20% less than what joan earns or joan earns 25% more than what sam earns.so if sam earns 300$ then jaon will earn 375$.jim earns 50% less than joan so jim earns approximately 186$.
Please suggest where i am wrong?

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M23-04 &nbs [#permalink] 16 Sep 2018, 03:43
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