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If y = 4x and z = y/2, the in terms of x, y + z =

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If y = 4x and z = y/2, the in terms of x, y + z =  [#permalink]

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New post 05 Jul 2018, 04:49
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A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

97% (00:32) correct 3% (02:21) wrong based on 30 sessions

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If y = 4x and z = y/2, the in terms of x, y + z =  [#permalink]

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New post 05 Jul 2018, 05:50
Bunuel wrote:
If \(y = 4x\) and \(z = \frac{1}{2} y\), the in terms of x, \(y + z =\)


A. 4.5x

B. 6x

C. 7x

D. 9x

E. 11x


\(y+z=4x+\frac{1}{2} y\)=\(4x+\frac{1}{2}\)*\(4x=4x+2x=6x\)

Ans. (B)
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Re: If y = 4x and z = y/2, the in terms of x, y + z =  [#permalink]

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New post 05 Jul 2018, 05:53
We can translate the stem:
y=4x
z=0.5y=0.5*4x=2x

y+z=4x+2x=6x

In My Opinion
Ans: B
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Re: If y = 4x and z = y/2, the in terms of x, y + z =  [#permalink]

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New post 05 Jul 2018, 07:53
Bunuel wrote:
If \(y = 4x\) and \(z = \frac{1}{2} y\), the in terms of x, \(y + z =\)


A. 4.5x

B. 6x

C. 7x

D. 9x

E. 11x


Let x = 1

So, y = 4 and z = 2

Thus, x + y + z = 7, which is nothing but 7x , the answer must be (C)
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If y = 4x and z = y/2, the in terms of x, y + z =  [#permalink]

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New post 05 Jul 2018, 20:43
Bunuel wrote:
If \(y = 4x\) and \(z = \frac{1}{2} y\), the in terms of x, \(y + z =\)


A. 4.5x

B. 6x

C. 7x

D. 9x

E. 11x

Let \(x = 3, y = 12,\) and \(z = 6\)
\((y+z)=(12+6)=18=6x\)

Let \(x = 2, y = 8,\) and \(z = 4\)
\((y+z)=(8+4)=12=6x\)

Answer B
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Re: If y = 4x and z = y/2, the in terms of x, y + z =  [#permalink]

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New post 05 Jul 2018, 20:55
Bunuel wrote:
If \(y = 4x\) and \(z = \frac{1}{2} y\), the in terms of x, \(y + z =\)


A. 4.5x

B. 6x

C. 7x

D. 9x

E. 11x



Given ,

y = 4x

z =\(\frac{1}{2}\) * 4x

z = 2x


Question :

y + z = 4x + 2x = 6x .

Thus the best answer is B.
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Re: If y = 4x and z = y/2, the in terms of x, y + z =  [#permalink]

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New post 07 Jul 2018, 18:29
Bunuel wrote:
If \(y = 4x\) and \(z = \frac{1}{2} y\), the in terms of x, \(y + z =\)


A. 4.5x

B. 6x

C. 7x

D. 9x

E. 11x


Since y = 4x and z = ½y, then y = 2z. So 2z = 4x and z = 2x.

Thus, y + z = 4x + 2x = 6x.

Answer: B
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Re: If y = 4x and z = y/2, the in terms of x, y + z =  [#permalink]

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New post 08 Jul 2018, 03:43
OA: B


\(y = 4x\) .....(1)
\(z = \frac{1}{2} y\).....(2)
putting (1) into (2), we get
\(z = \frac{1}{2}*4x\)
\(z = 2x\)

then \(y+z =4x + 2x = 6x\)
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Re: If y = 4x and z = y/2, the in terms of x, y + z = &nbs [#permalink] 08 Jul 2018, 03:43
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