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# On 2 sales Tom has received commissions of x dollars and y dollars and

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Math Expert
Joined: 02 Sep 2009
Posts: 44655
On 2 sales Tom has received commissions of x dollars and y dollars and [#permalink]

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25 Dec 2017, 00:47
00:00

Difficulty:

35% (medium)

Question Stats:

83% (02:15) correct 17% (02:09) wrong based on 12 sessions

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On 2 sales Tom has received commissions of x dollars and y dollars and has an additional sale pending. If Tom is to receive an average (arithmetic mean) commission of 2x + y on the 3 sales, then the final sale in terms of x and y must be

A. x
B. 3x + y
C. 3x + 3y
D. 5x – 3y
E. 5x + 2y
[Reveal] Spoiler: OA

_________________
Intern
Joined: 18 Feb 2017
Posts: 3
Re: On 2 sales Tom has received commissions of x dollars and y dollars and [#permalink]

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25 Dec 2017, 06:09
Let's say p is the commission on the final sale.
As per the question stem, (x+y+p)/3 = (2x+y)
Solving for p gives p=5x+2y. Hence E is the correct answer.
Manager
Joined: 24 Nov 2016
Posts: 148
Re: On 2 sales Tom has received commissions of x dollars and y dollars and [#permalink]

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25 Dec 2017, 12:38
Bunuel wrote:
On 2 sales Tom has received commissions of x dollars and y dollars and has an additional sale pending. If Tom is to receive an average (arithmetic mean) commission of 2x + y on the 3 sales, then the final sale in terms of x and y must be

A. x
B. 3x + y
C. 3x + 3y
D. 5x – 3y
E. 5x + 2y

$$average=\frac{sum.commissions}{number.sales}$$

$$2x+y=\frac{x+y+final.sale}{3}$$, $$6x+3y=x+y+final.sale$$, $$final.sale=5x+2y$$

Re: On 2 sales Tom has received commissions of x dollars and y dollars and   [#permalink] 25 Dec 2017, 12:38
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