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Math Expert
Joined: 02 Sep 2009
Posts: 50572
A man shared his lottery winnings of $15,000 with his wife and two [#permalink] ### Show Tags 10 May 2016, 23:15 00:00 Difficulty: 25% (medium) Question Stats: 81% (01:41) correct 19% (01:34) wrong based on 64 sessions ### HideShow timer Statistics A man shared his lottery winnings of$15,000 with his wife and two children. How much did his wife receive?

(1) He gave his children $2,000 each. (2) The wife received$1,000 less than her husband and three thousand more than each of the children.

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Re: A man shared his lottery winnings of $15,000 with his wife and two [#permalink] ### Show Tags 11 May 2016, 01:09 Bunuel wrote: A man shared his lottery winnings of$15,000 with his wife and two children. How much did his wife receive?

(1) He gave his children $2,000 each. (2) The wife received$1,000 less than her husband and three thousand more than each of the children.

The important point is shared WITH, which means it was divide amongst 4- man, his wife and TWO chidren..

(1) He gave his children $2,000 each. so he and his wife took 15000-2*2000 =$11,000
Insuff

(2) The wife received $1,000 less than her husband and three thousand more than each of the children. W = M-1000 = C+3000..... $$W+M+2C=15,000..... W+(W+1000)+2(W-3000) = 15000...$$ the equation has ONLY one variable so Suff 4W-5000=15000...........W=5000 Suff _________________ 1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html GMAT online Tutor SVP Joined: 06 Nov 2014 Posts: 1882 Re: A man shared his lottery winnings of$15,000 with his wife and two  [#permalink]

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11 May 2016, 03:44
Bunuel wrote:
A man shared his lottery winnings of $15,000 with his wife and two children. How much did his wife receive? (1) He gave his children$2,000 each.
(2) The wife received $1,000 less than her husband and three thousand more than each of the children. Total lottery =$15,000 sahred with wife and 2 children.
Share of wife = ?

Statement 1: He gave his children $2,000 each Amount remaining =$11,000
No information about the sharing with wife.
INSUFFICIENT

Statement 2: Wife received $1000 less than husband and$3000 more than children.
Assume amount received by wife = x

Amount with husband = x + 1000
Amount with children = x - 3000

We know that total = 15000
Hence we can solve x + (x + 1000) + 2*(x - 3000) = 15000 to get the value of x
SUFFICIENT

Correct Option : B
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Re: A man shared his lottery winnings of $15,000 with his wife and two [#permalink] ### Show Tags 11 May 2016, 19:24 In the original condition, there are 4 variables (h:husband, w:wife x: son, y: son) and 1 equation (h+w+x+y=15,000). In order to match the number of variables and the number of equations, we need 3 equations. Since there are one condition 1) and one condition 2), we lack 2 equations. Therefore, there is high chance that E is likely the answer. However, the condition 1) has 2 equations and the condition 2) has 3 equations. So, the condition 2) is sufficient and the correct answer is B. - For cases where we need 3 more equations, such as original conditions with “3 variables”, or “4 variables and 1 equation”, or “5 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 80% chance that E is the answer (especially about 90% of 2 by 2 questions where there are more than 3 variables), while C has 15% chance. These two are the majority. In case of common mistake type 3,4, the answer may be from A, B or D but there is only 5% chance. Since E is most likely to be the answer using 1) and 2) separately according to DS definition (It saves us time). Obviously there may be cases where the answer is A, B, C or D. _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$99 for 3 month Online Course"
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Re: A man shared his lottery winnings of $15,000 with his wife and two [#permalink] ### Show Tags 15 Sep 2018, 10:02 Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________ Re: A man shared his lottery winnings of$15,000 with his wife and two &nbs [#permalink] 15 Sep 2018, 10:02
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# A man shared his lottery winnings of \$15,000 with his wife and two

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