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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
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If (c-a)/(c-b) = 2, then (5b-5a)/(c-a) = A. 0.5 B. 1 C. 1.5 [#permalink] New post 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
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 [#permalink] New post 21 Aug 2007, 09:05
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
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 [#permalink] New post 21 Aug 2007, 09:17
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.
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 [#permalink] New post 21 Aug 2007, 10:08
Answer : 2.5

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

simplifying

c =2b-a

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

5/2 ( 1) = 2.5
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Re: If... then [#permalink] New post 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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If (c-a)/(c-b) = 2, then (5b-5a)/(c-a) = A. 0.5 B. 1 C. 1.5

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