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# If y = 3x, and z = 2y, then in terms of x, x + y + z =

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Math Expert
Joined: 02 Sep 2009
Posts: 54495
If y = 3x, and z = 2y, then in terms of x, x + y + z =  [#permalink]

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09 Aug 2017, 04:38
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5% (low)

Question Stats:

96% (00:43) correct 4% (00:15) wrong based on 79 sessions

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If y = 3x, and z = 2y, then in terms of x, x + y + z =

(A) 10x
(B) 9x
(C) 8x
(E) 6x
(E) 5x

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Re: If y = 3x, and z = 2y, then in terms of x, x + y + z =  [#permalink]

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09 Aug 2017, 04:57
1
Given data:
y = 3x
z = 2y

Therefore, z can be rewritten as 2(3x) = 6x

Since we need to find the value of the expression in terms of x,

x + y + z = x + 3x + 6x = 10x(Option A)
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Re: If y = 3x, and z = 2y, then in terms of x, x + y + z =  [#permalink]

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09 Aug 2017, 08:57
Bunuel wrote:
If y = 3x, and z = 2y, then in terms of x, x + y + z =

(A) 10x
(B) 9x
(C) 8x
(E) 6x
(E) 5x

Let x = 1

So, y = 3 & z = 6

Hence, $$x + y + z$$ = $$1 + 6 + 3$$ = $$10$$

Thus, in terms of x the value of $$x + y + z$$ = $$10$$

Hence, answer must be (A) $$10x$$
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Re: If y = 3x, and z = 2y, then in terms of x, x + y + z =  [#permalink]

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15 Aug 2017, 11:45
z = 2y
y = 3x
so z = 2(3x) = 6x

x + 3x + 6x = 10x
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Joined: 04 Dec 2015
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Re: If y = 3x, and z = 2y, then in terms of x, x + y + z =  [#permalink]

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15 Aug 2017, 14:06
1
Bunuel wrote:
If y = 3x, and z = 2y, then in terms of x, x + y + z =

(A) 10x
(B) 9x
(C) 8x
(E) 6x
(E) 5x

Variables in the answer choices tell you to choose your own values! The phrase 'in terms of' is another clue that this will work.

Let's say x = 1.

Then y = 3 and z = 6.

x + y + z = 1 + 3 + 6 = 10.

Plug x into the answer choices to see which one equals 10. In this case it's A.
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Re: If y = 3x, and z = 2y, then in terms of x, x + y + z =  [#permalink]

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22 Aug 2017, 11:21
If y = 3x, and z = 2y, then in terms of x, x + y + z =

(A) 10x
(B) 9x
(C) 8x
(E) 6x
(E) 5x

Just substitute the values into the last equation

x+3x+6x=10x,option A
Re: If y = 3x, and z = 2y, then in terms of x, x + y + z =   [#permalink] 22 Aug 2017, 11:21
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