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A certain car dealership sells economy cars, luxury cars, an

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A certain car dealership sells economy cars, luxury cars, an [#permalink] New post 12 Dec 2018, 12:44
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87% (00:50) correct 12% (00:49) wrong based on 49 sessions
A certain car dealership sells economy cars, luxury cars, and sport utility vehicles. The ratio of economy to luxury cars is 3:2. The ratio of economy cars to sport utility vehicles is 4:3. What is the ratio of luxury cars to sport utility vehicles?

A. 9:8

B. 8:9

C. 3:2

D. 2:3

E. 1:2
[Reveal] Spoiler: OA

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Re: A certain car dealership sells economy cars, luxury cars, an [#permalink] New post 13 Dec 2018, 10:51
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Carcass wrote:
A certain car dealership sells economy cars, luxury cars, and sport utility vehicles. The ratio of economy to luxury cars is 3:2. The ratio of economy cars to sport utility vehicles is 4:3. What is the ratio of luxury cars to sport utility vehicles?

A. 9:8

B. 8:9

C. 3:2

D. 2:3

E. 1:2


Given:
economy:luxury = 3:2
economy: sport = 4:3

We need to COMBINE these ratios.
Since both ratios include economy vehicles, we'll find equivalent ratios that share the same value for economy vehicles.

Take the top ratio, 3:2 and multiply both sides by 4 to get the equivalent ratio 12:8

Take the bottom ratio, 4:3 and multiply both sides by 3 to get the equivalent ratio 12:9

At this point, we can combine the ratios to get:
economy:luxury:sport = 12:8:9


What is the ratio of luxury cars to sport utility vehicles?
luxury:sport = 8:9

Answer: B

Cheers,
Brent
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Re: A certain car dealership sells economy cars, luxury cars, an [#permalink] New post 13 Dec 2018, 11:52
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Answer: B

Economy / luxury = 3/2
Economy = 3/2 * luxury
Luxury = 2/3 * economy

Economy/ sport = 4/3
Economy = 4/3*sport
Sport = 3/4 * economy


Luxury/ sport = ?
Luxury/sport = 2/3 * economy / 3/4 * economy = 2/3 * 4/3 = 8/9
The answer is B.
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A certain car dealership sells economy cars, luxury cars, an [#permalink] New post 24 Feb 2020, 11:57
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A certain car dealership sells economy cars, luxury cars, and sport utility vehicles. The ratio of economy to luxury cars is 3:2. The ratio of economy cars to sport utility vehicles is 4:3. What is the ratio of luxury cars to sport utility vehicles?



A. 9:8

B. 8:9

C. 3:2

D. 2:3

E. 1:2
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Re: A certain car dealership sells economy cars, luxury cars, an [#permalink] New post 26 Feb 2020, 00:57
The answer is 8:9 not 8:09
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Re: A certain car dealership sells economy cars, luxury cars, an [#permalink] New post 26 Feb 2020, 02:15
Expert's post
Re: A certain car dealership sells economy cars, luxury cars, an   [#permalink] 26 Feb 2020, 02:15
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