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The combined salaries of three brothers is $90,000. Mr. Big earns twic
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03 Mar 2014, 03:30
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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
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Re: The combined salaries of three brothers is $90,000. Mr. Big earns twic
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03 Mar 2014, 03:51
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.
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Re: The combined salaries of three brothers is $90,000. Mr. Big earns twic
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03 Mar 2014, 22:04
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
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23 Jul 2014, 22:59
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
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25 Jun 2017, 09:59
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
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26 Jun 2017, 05:13
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
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26 Feb 2018, 10:21
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 Answer: A
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