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Autolot has a 2 : 1 ratio of blue cars to red cars and a 6 : 1 ratio

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Math Expert
Joined: 02 Sep 2009
Posts: 56357
Autolot has a 2 : 1 ratio of blue cars to red cars and a 6 : 1 ratio  [#permalink]

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19 Aug 2018, 09:23
00:00

Difficulty:

25% (medium)

Question Stats:

83% (01:17) correct 17% (01:01) wrong based on 28 sessions

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Autolot has a 2 : 1 ratio of blue cars to red cars and a 6 : 1 ratio of red cars to orange cars on the lot. What could be the total number of blue, red, and orange cars on the lot?

(A) 38
(B) 39
(C) 40
(D) 41
(E) 42

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Joined: 20 Feb 2015
Posts: 790
Concentration: Strategy, General Management
Re: Autolot has a 2 : 1 ratio of blue cars to red cars and a 6 : 1 ratio  [#permalink]

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19 Aug 2018, 09:28
Bunuel wrote:
Autolot has a 2 : 1 ratio of blue cars to red cars and a 6 : 1 ratio of red cars to orange cars on the lot. What could be the total number of blue, red, and orange cars on the lot?

(A) 38
(B) 39
(C) 40
(D) 41
(E) 42

b/r = 2x/x

r/o= 6x/x

multiplying numerator and denominator in b/r by 6

b/r = 12x/6x

therefore
b:r:o=12x:6x:x

substituting x= 2
24:12:2
total = 38
A
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Re: Autolot has a 2 : 1 ratio of blue cars to red cars and a 6 : 1 ratio  [#permalink]

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19 Aug 2018, 09:39
B:R=2:1, R:O= 6:1
=> B:R= 12:6, R:O= 6:1
=> B:R:O= 12:6:1
=> Total car= 19k, (k '+'constant)
=> Total number of car should be divisible by 19
=> Only option is 38, ans A

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Re: Autolot has a 2 : 1 ratio of blue cars to red cars and a 6 : 1 ratio   [#permalink] 19 Aug 2018, 09:39
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