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Math Expert V
Joined: 02 Sep 2009
Posts: 58381

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Difficulty:   15% (low)

Question Stats: 82% (01:52) correct 18% (02:07) wrong based on 152 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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Math Expert V
Joined: 02 Sep 2009
Posts: 58381

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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 $$\frac{300}{1.2} = \frac{3000}{12} = 250$$.

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Intern  Joined: 08 Mar 2014
Posts: 45
Location: United States
GMAT Date: 12-30-2014
GPA: 3.3

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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 $$\frac{300}{1.2} = \frac{3000}{12} = 250$$.

Hello,
Can you please explain that how you got the equation $$\text{Sam }= \frac{\text{Joan}}{2}1.6$$.
Math Expert V
Joined: 02 Sep 2009
Posts: 58381

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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 $$\frac{300}{1.2} = \frac{3000}{12} = 250$$.

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: $$\text{Sam }= \frac{\text{Joan}}{2}*1.6$$. _________________ Intern  Joined: 08 Mar 2014 Posts: 45 Location: United States GMAT Date: 12-30-2014 GPA: 3.3 Re: M23-04 [#permalink] Show Tags Thanks Intern  Joined: 14 Oct 2015 Posts: 29 GMAT 1: 640 Q45 V33 M23-04 [#permalink] Show Tags 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 VP  D Joined: 31 Oct 2013 Posts: 1469 Concentration: Accounting, Finance GPA: 3.68 WE: Analyst (Accounting) For every one dollar jim earns , Joan earns$1.5 and for every $2 [#permalink] Show Tags 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
MBA Section Director V
Affiliations: GMATClub
Joined: 22 May 2017
Posts: 2587
GPA: 4
WE: Engineering (Computer Software)

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, $$\frac{Joan}{Jim} = \frac{2}{1.6}$$ _________________ Senior Manager  G Joined: 15 Feb 2017 Posts: 299 M23-04 [#permalink] Show Tags 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?

Regards
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IMPOSSIBLE IS JUST AN OPINION M23-04   [#permalink] 16 Sep 2018, 04:43
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