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# If (c-a)/(c-b) = 2, then (5b-5a)/(c-a) = A. 0.5 B. 1 C. 1.5

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Manager
Joined: 14 May 2006
Posts: 202
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If (c-a)/(c-b) = 2, then (5b-5a)/(c-a) = A. 0.5 B. 1 C. 1.5 [#permalink]  21 Aug 2007, 08:55
If (c-a)/(c-b) = 2, then (5b-5a)/(c-a) =

A. 0.5
B. 1
C. 1.5
D. 2
E. 2.5
Director
Joined: 13 Nov 2003
Posts: 790
Location: BULGARIA
Followers: 1

Kudos [?]: 30 [0], given: 0

Hi
from stem c-a=2c-2b then 2b-a=c substitute for c in denominator of the problem and you will get it.
Hope it helps
Manager
Joined: 14 May 2006
Posts: 202
Followers: 1

Kudos [?]: 11 [0], given: 0

BG wrote:
Hi
from stem c-a=2c-2b then 2b-a=c substitute for c in denominator of the problem and you will get it.
Hope it helps

Thanks.

I ended up plugging in the choices for this one. I guess I was thinking too difficult.
Manager
Joined: 18 Jun 2007
Posts: 88
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Kudos [?]: 1 [0], given: 0

(c-a ) = 2( c-b)

simplifying

c =2b-a

subsitituting this in 5b-5a / c-a

5/2 ( 1) = 2.5
VP
Joined: 10 Jun 2007
Posts: 1464
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Re: If... then [#permalink]  21 Aug 2007, 10:24
BCC145 wrote:
If (c-a)/(c-b) = 2, then (5b-5a)/(c-a) =

A. 0.5
B. 1
C. 1.5
D. 2
E. 2.5

it's E bro.

inverse the equation:
(c-b) / (c-a) = 1/2
Then solve for c in terms of a and b
c-a = 2c-2b
c = 2b-a
Plug in c for the inversed equation
(2b-a-b) / (c-a) = 1/2
(b-a) / (c-a) = 1/2
(5b-5a) / (c-a) = 5/2 = 2.5
Re: If... then   [#permalink] 21 Aug 2007, 10:24
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