It is currently 20 Jan 2018, 20:51

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# M21-08

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

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 43334

Kudos [?]: 139617 [0], given: 12794

### Show Tags

16 Sep 2014, 00:10
00:00

Difficulty:

45% (medium)

Question Stats:

62% (01:10) correct 38% (01:21) wrong based on 128 sessions

### HideShow timer Statistics

In a fleet of a certain car-renting agency the ratio of the number of sedans to the number of hatchbacks was 9:8. After the addition of 3 sedans and 1 hatchback, this ratio rose to 6:5, how many more sedans than hatchbacks does the agency have after the addition ?

A. 2
B. 3
C. 5
D. 7
E. 9
[Reveal] Spoiler: OA

_________________

Kudos [?]: 139617 [0], given: 12794

Math Expert
Joined: 02 Sep 2009
Posts: 43334

Kudos [?]: 139617 [0], given: 12794

### Show Tags

16 Sep 2014, 00:10
Official Solution:

In a fleet of a certain car-renting agency the ratio of the number of sedans to the number of hatchbacks was 9:8. After the addition of 3 sedans and 1 hatchback, this ratio rose to 6:5, how many more sedans than hatchbacks does the agency have after the addition ?

A. 2
B. 3
C. 5
D. 7
E. 9

Denote $$H$$ and $$S$$ respectively as the number of hatchbacks and sedans in the fleet before the addition of new cars. We can compose a system of equations:

$$\frac{S}{H} = \frac{9}{8}$$

$$\frac{S + 3}{H + 1} = \frac{6}{5}$$

Solving this system, we get $$S = 27$$ and $$H = 24$$. Now the agency has 30 sedans and 25 hatchbacks. The answer to the question is 5.

_________________

Kudos [?]: 139617 [0], given: 12794

Intern
Joined: 18 Jun 2015
Posts: 41

Kudos [?]: 11 [0], given: 7

### Show Tags

12 Sep 2016, 12:48
I overlooked the word "now" in the heat of the moment, which gave me the wrong answer as 3.
Here in the question stem it is written "If after addition" that makes the question an assumption as in a hypothetical situation where we are adding 3 Sedans and 1 Hatchback.
The question would be clear if it simply removes "if" and says after the addition.

Kudos [?]: 11 [0], given: 7

Intern
Joined: 06 Feb 2016
Posts: 48

Kudos [?]: 10 [1], given: 26

Location: Poland
Concentration: Finance, Accounting
GMAT 1: 730 Q49 V41
GPA: 3.5

### Show Tags

16 Sep 2016, 05:47
1
KUDOS
1
This post was
BOOKMARKED
I always use this format when working with ratios: 9x/8x - the initial ratio. (9x+3)/(8x+1)=6/5 x=3

Kudos [?]: 10 [1], given: 26

Intern
Joined: 28 Dec 2016
Posts: 22

Kudos [?]: 6 [0], given: 60

Location: United States
GMAT 1: 640 Q42 V36
GMAT 2: 700 Q47 V38
WE: Analyst (Consumer Products)

### Show Tags

17 Jan 2017, 18:35
Great question, but I too have problem understanding the question with complete clarity.
The question seems to ask about the the difference in number of cars before the addition of 3 sedans and 1 hatchback. ('now')
what is the difference 'now' should be worded refer to what is the difference 'after' the addition.

Kudos [?]: 6 [0], given: 60

Intern
Joined: 25 Jan 2016
Posts: 9

Kudos [?]: 5 [0], given: 0

Location: United States (NJ)
GPA: 2.34
WE: Analyst (Commercial Banking)

### Show Tags

02 May 2017, 12:16
1
This post was
BOOKMARKED
I am not following the arithmetic on how we got x=3.

Can someone please show the details on how we got to x=3?

Kudos [?]: 5 [0], given: 0

Manager
Joined: 14 May 2015
Posts: 53

Kudos [?]: 6 [0], given: 2

### Show Tags

06 May 2017, 12:18
(9x+3)/(8x+1) = 6/5
x=3
difference= 9*3+3 - 8*3+1 =5
ans: c

Kudos [?]: 6 [0], given: 2

Intern
Joined: 26 Mar 2017
Posts: 2

Kudos [?]: 0 [0], given: 83

### Show Tags

18 Jun 2017, 06:38
I think this is a poor-quality question and I agree with explanation. I also believe that the question could be better written. I understood the question asked about the number before the addition, so I answered 3 (B)

Kudos [?]: 0 [0], given: 83

Math Expert
Joined: 02 Sep 2009
Posts: 43334

Kudos [?]: 139617 [0], given: 12794

### Show Tags

18 Jun 2017, 08:54
Pol DC wrote:
I think this is a poor-quality question and I agree with explanation. I also believe that the question could be better written. I understood the question asked about the number before the addition, so I answered 3 (B)

I don;t think the question is ambiguous:
In a fleet of a certain car-renting agency the ratio of the number of sedans to the number of hatchbacks was 9:8. If after the addition of 3 sedans and 1 hatchback, this ratio rose to 6:5, how many more sedans than hatchbacks does the agency have NOW?

What is confusing or unclear there?
_________________

Kudos [?]: 139617 [0], given: 12794

Intern
Joined: 16 May 2016
Posts: 4

Kudos [?]: [0], given: 4

Location: United States (CA)
Schools: Wharton '20 (S)
GMAT 1: 760 Q49 V45
GPA: 3.55

### Show Tags

25 Aug 2017, 16:44
Bunuel wrote:
Pol DC wrote:
I think this is a poor-quality question and I agree with explanation. I also believe that the question could be better written. I understood the question asked about the number before the addition, so I answered 3 (B)

I don;t think the question is ambiguous:
In a fleet of a certain car-renting agency the ratio of the number of sedans to the number of hatchbacks was 9:8. If after the addition of 3 sedans and 1 hatchback, this ratio rose to 6:5, how many more sedans than hatchbacks does the agency have NOW?

What is confusing or unclear there?

The addition of 3 sedans are hypothetical and in the future. Therefore now refers to 9:8, not 6:5; even though 6:5 helps us solve 9:8. For example, if you gave me three more apples and I now have seven, how many apples do I have now. Right now I have four, not seven.

I figured out the work for the question, but ended up following the grammar of the sentence, only to arrive at an incorrect result.

Kudos [?]: [0], given: 4

Senior Manager
Joined: 08 Jun 2015
Posts: 365

Kudos [?]: 27 [0], given: 106

Location: India
GMAT 1: 640 Q48 V29

### Show Tags

14 Nov 2017, 04:00
There is a slight ambiguity as far as the wording is concerned. I think the use of "now" and "if" creates a lot of confusion. When we use "if", the meaning conveyed is that the situation described is hypothetical. "Now" then means that we are expected to give the ratio before the addition.
Please mention the source.
_________________

" The few , the fearless "

Kudos [?]: 27 [0], given: 106

Math Expert
Joined: 02 Sep 2009
Posts: 43334

Kudos [?]: 139617 [0], given: 12794

### Show Tags

14 Nov 2017, 05:29
spetznaz wrote:
There is a slight ambiguity as far as the wording is concerned. I think the use of "now" and "if" creates a lot of confusion. When we use "if", the meaning conveyed is that the situation described is hypothetical. "Now" then means that we are expected to give the ratio before the addition.
Please mention the source.

Edited as suggested. Hope now is clear.
_________________

Kudos [?]: 139617 [0], given: 12794

Re: M21-08   [#permalink] 14 Nov 2017, 05:29
Display posts from previous: Sort by

# M21-08

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

Moderators: chetan2u, Bunuel

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.