GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 19 Oct 2019, 03:20

Close

GMAT 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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

An automobile dealership sells only sedans and coupes. It sells each i

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Senior RC Moderator
User avatar
V
Joined: 02 Nov 2016
Posts: 4118
GPA: 3.39
An automobile dealership sells only sedans and coupes. It sells each i  [#permalink]

Show Tags

New post 24 Feb 2017, 23:22
1
1
1
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

62% (02:20) correct 38% (02:20) wrong based on 55 sessions

HideShow timer Statistics

An automobile dealership sells only sedans and coupes. It sells each in only two colors: red and blue. Last year, the dealership sold 9,000 vehicles, half of which were red. How many coupes did the dealership sell last year?

(1) The dealership sold three times as many blue coupes as red sedans last year.
(2) The dealership sold half as many blue sedans as blue coupes last year.

_________________
Most Helpful Community Reply
Senior RC Moderator
User avatar
V
Joined: 02 Nov 2016
Posts: 4118
GPA: 3.39
Re: An automobile dealership sells only sedans and coupes. It sells each i  [#permalink]

Show Tags

New post 21 Feb 2019, 11:10
Official Explanation


Create a table to solve this proportions question. It should look something like this:

Attachment:
1.jpg
1.jpg [ 31.04 KiB | Viewed 420 times ]


The question stem tells us how many cars were sold last year. Because it tells us that half the cars sold were red, it also tells us the number of blue cars sold last year.
Statement (1) tells us: “The dealership sold three times as many blue coupes as red sedans last year.” Enter this information into the table in algebraic terms:

Attachment:
2.jpg
2.jpg [ 29.29 KiB | Viewed 420 times ]


Because two unknowns—red coupes and blue sedans—remain, Statement (1) does not provide enough information to solve the problem. The correct answer is BCE.
Use the same procedure to test Statement (2): “The dealership sold half as many blue sedans as blue coupes last year”:

Attachment:
3.jpg
3.jpg [ 27.03 KiB | Viewed 421 times ]


Again, two unknowns remain. This time, though, we have all the information we need to write a solvable equation. We know that 2x + x = 4,500. Therefore x equals 1,500. We now know the following:

Attachment:
4.jpg
4.jpg [ 30.12 KiB | Viewed 421 times ]


Unfortunately, this still isn’t enough information to answer the question. The answer is (C) or (E). Combine the information from the two statements. Statement (2) tells us that the dealership sold 3,000 blue coupes; combined with Statement (1), this tells us that the dealership sold 1,000 red sedans. We can now subtract 1,000 from 4,500 to determine that the dealership sold 3,500 red coupes. Therefore, it sold 6,500 coupes last year. The correct answer is (C).

_________________
General Discussion
Current Student
avatar
V
Joined: 28 May 2014
Posts: 515
GMAT 1: 730 Q49 V41
GMAT ToolKit User
Re: An automobile dealership sells only sedans and coupes. It sells each i  [#permalink]

Show Tags

New post 25 Feb 2017, 03:55
Total cars - 9000; red cars- 4500; blue cars- 4500;

(1) Blue coupes = 3*red sedans
Not enough information; hence, Insufficient.

(2) blue coupes = 2*blue sedans;
Total blue cars - 4500; hence, blue coupes = 3000;
But it doesn't give any information about red sedans; hence, Insufficient.

(1) & (2) together,
Blue coupes = 3000 = 3* red sedans;
Therefore, red sedans = 1000;
Now total red cars 4500; hence, red coupes = 4500 - 1000 = 3500;
So, total coupes sold = 3000 + 3500 = 6500; Sufficient.

Answer C.
_________________
GMAT Club Bot
Re: An automobile dealership sells only sedans and coupes. It sells each i   [#permalink] 25 Feb 2017, 03:55
Display posts from previous: Sort by

An automobile dealership sells only sedans and coupes. It sells each i

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne