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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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Joined: 02 Sep 2009
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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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28 Dec 2017, 21:42
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25% (medium)

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80% (01:49) correct 20% (01:58) wrong based on 94 sessions

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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

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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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29 Dec 2017, 04:53
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]

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23 Sep 2018, 03:41
At first double x to double x:z ratio and then halve y to make the y:z ratio 1/2 of original.
We get 6:2:12 which gets reduced to 3:1:6....making option D the correct answer,
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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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23 Sep 2018, 09:08
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Top Contributor
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

GIVEN: x : y : z = 3 : 4 : 12

The ratio is changed so that the ratio of x to z is doubled
We get x : y : z = 6 : 4 : 12

The ratio is changed so that the ratio of y to z is halved
We get x : y : z = 6 : 2 : 12

We can simplify 6 : 2 : 12 by dividing all three parts by 2.
We get: 3 : 1 : 6

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Re: The ratio of x to y to z is 3 : 4 : 12. If the ratio is changed so   [#permalink] 23 Sep 2018, 09:08
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