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03 Mar 2014, 04:30
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Question Stats:

91% (01:15) correct 9% (02:16) wrong based on 81 sessions

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The combined salaries of three brothers is $90,000. Mr. Big earns twice what Mr. Small earns, and Mr. Middle earns 1 1/2 times what Mr. Small earns. What is the smallest salary of the three brothers? (A) 20,000 (B) 22,000 (C) 25,000 (D) 30,000 (E) 40,000 Source- NOVA _________________ Thanks for Posting LEARN TO ANALYSE +1 kudos if you like Math Expert Joined: 02 Sep 2009 Posts: 56371 Re: The combined salaries of three brothers is$90,000. Mr. Big earns twic  [#permalink]

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03 Mar 2014, 04:51
rango wrote:
The combined salaries of three brothers is $90,000. Mr. Big earns twice what Mr. Small earns, and Mr. Middle earns 1 1/2 times what Mr. Small earns. What is the smallest salary of the three brothers? (A) 20,000 (B) 22,000 (C) 25,000 (D) 30,000 (E) 40,000 Source- NOVA Mr. Small = x; Mr. Middle = 3/2*x; Mr. Big = 2x. x + 3/2*x + 2x = 90 --> x=20. Answer: A. Or plug in answer choices: C. If S=25, then M=37.5, and B=50 --> the sum is more than 90. Try smaller numbers. B. If S=22, then M=33, and B=44 --> the sum is more than 90. Try smaller numbers. A. If S=20, then M=30, and B=40 --> the sum is 90. Answer: A. Hope it helps. _________________ Intern Joined: 03 Aug 2012 Posts: 19 Location: United States (OR) Concentration: Finance, International Business GPA: 3.53 WE: Analyst (Entertainment and Sports) Re: The combined salaries of three brothers is$90,000. Mr. Big earns twic  [#permalink]

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03 Mar 2014, 23:04
rango wrote:
The combined salaries of three brothers is $90,000. Mr. Big earns twice what Mr. Small earns, and Mr. Middle earns 1 1/2 times what Mr. Small earns. What is the smallest salary of the three brothers? (A) 20,000 (B) 22,000 (C) 25,000 (D) 30,000 (E) 40,000 Source- NOVA My brain processed it as follows:$90,000 = B + M + S
B = 2S
M = (3/2)S
S = S

Thus --> 90,000 = 2S + (3/2)S + S

Thus --> 90,000 = (4/2)S + (3/2)S + (2/2)S (found lowest common denominator)

Thus --> 90,000 = (9/2)S

Thus --> 90,000 * (2/9) = S (took the reciprocal of 9/2 when dividing)

Thus --> 180,000/9 = S

Thus --> S = 20,000

Might be slower but helps me to get terms I can combine.
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Re: The combined salaries of three brothers is $90,000. Mr. Big earns twic [#permalink] ### Show Tags 23 Jul 2014, 23:59 The combined salaries of three brothers is$90,000. Mr. Big earns twice what Mr. Small earns, and Mr. Middle earns 1 1/2 times what Mr. Small earns. What is the smallest salary of the three brothers?

Let assume Mr Small= X
Now Mr big Earns Twice Which Means= 2X
Now For Middle one= X*1/2

X+2x+x*1/2=90

Answer B is correct.
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Re: The combined salaries of three brothers is $90,000. Mr. Big earns twic [#permalink] ### Show Tags 25 Jun 2017, 10:59 B + S + M =$90,000

B = 2S
M = 3S/2

2S + S + 3S/2 = $90,000 4S + 2S + 3S =$180,000
S = $180,000/9 =$20,000. Ans - A.
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Re: The combined salaries of three brothers is $90,000. Mr. Big earns twic [#permalink] ### Show Tags 26 Jun 2017, 06:13 The combined salaries of three brothers is$90,000. Mr. Big earns twice what Mr. Small earns, and Mr. Middle earns 1 1/2 times what Mr. Small earns. What is the smallest salary of the three brothers?

Let the salary for Mr. Small be $$x$$

$$2x + 1.5x + x = 90,000$$

$$4.5x = 90,000$$

$$x = 20,000$$

Hence, Answer is A
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Re: The combined salaries of three brothers is $90,000. Mr. Big earns twic [#permalink] ### Show Tags 26 Feb 2018, 11:21 rango wrote: The combined salaries of three brothers is$90,000. Mr. Big earns twice what Mr. Small earns, and Mr. Middle earns 1 1/2 times what Mr. Small earns. What is the smallest salary of the three brothers?

(A) 20,000
(B) 22,000
(C) 25,000
(D) 30,000
(E) 40,000

We can let the salaries of Mr. Big, Mr. Small, and Mr. Medium = B, S, and M, respectively, and create the equations:

B + S + M = 90,000

and

B = 2S

and

M = 1.5S

Substituting, we have:

2S + S + 1.5S = 90,000

4.5S = 90,000

S = 20,000

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Re: The combined salaries of three brothers is $90,000. Mr. Big earns twic [#permalink] 26 Feb 2018, 11:21 Display posts from previous: Sort by # The combined salaries of three brothers is$90,000. Mr. Big earns twic

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