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The ratio of x to y to z is 3 : 4 : 12. If the ratio is changed so

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The ratio of x to y to z is 3 : 4 : 12. If the ratio is changed so [#permalink]

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New post 28 Dec 2017, 20:42
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The ratio of x to y to z is 3 : 4 : 12. If the ratio is changed so that the ratio of x to z is doubled and the ratio of y to z is halved which of the following is the new ratio?

A. 6 : 2 : 24
B. 6 : 1 : 24
C. 6 : 1 : 12
D. 3 : 1 : 6
E. 3 : 8 : 6
[Reveal] Spoiler: OA

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Re: The ratio of x to y to z is 3 : 4 : 12. If the ratio is changed so [#permalink]

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New post 29 Dec 2017, 03:53
Bunuel wrote:
The ratio of x to y to z is 3 : 4 : 12. If the ratio is changed so that the ratio of x to z is doubled and the ratio of y to z is halved which of the following is the new ratio?

A. 6 : 2 : 24
B. 6 : 1 : 24
C. 6 : 1 : 12
D. 3 : 1 : 6
E. 3 : 8 : 6


As all possible options are in front of us, we'll check the answers.
This is an Alternative approach.

(A) the ratio of x:z is 6:24 = 3:12, the same as the original. No!
(B) the ratio of x:z is 6:24 = 3:12, the same as the original. No!
(C) the ratio of x:z is 6:12, twice the original. Good! The ratio of y:z is 1:12, one fourth of the original. No!
(D) the ratio of x:z is 3:6=6:12, twice the original. Good! The ratio of y:z is 1:6=2:12, one half of the original. Yes!

(D) is our answer, there is no need to test (E) as well.
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Re: The ratio of x to y to z is 3 : 4 : 12. If the ratio is changed so   [#permalink] 29 Dec 2017, 03:53
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