GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
A certain car dealership sells economy cars, luxury cars, an
[#permalink]
12 Dec 2018, 12:44
12 Dec 2018, 12:44
Expert Reply
00:00
Question Stats:
91% (00:56) correct
8% (00:49) wrong based on 78 sessions
Hide Show timer Statistics
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
A. 9:8
B. 8:9
C. 3:2
D. 2:3
E. 1:2
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: A certain car dealership sells economy cars, luxury cars, an
[#permalink]
13 Dec 2018, 10:51
13 Dec 2018, 10:51
1
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
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
Re: A certain car dealership sells economy cars, luxury cars, an
[#permalink]
13 Dec 2018, 11:52
13 Dec 2018, 11:52
1
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.
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.
