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

 It is currently 19 Feb 2019, 23:58

### 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 February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
• ### Free GMAT Prep Hour

February 20, 2019

February 20, 2019

08:00 PM EST

09:00 PM EST

Strategies and techniques for approaching featured GMAT topics. Wednesday, February 20th at 8 PM EST

February 21, 2019

February 21, 2019

10:00 PM PST

11:00 PM PST

Kick off your 2019 GMAT prep with a free 7-day boot camp that includes free online lessons, webinars, and a full GMAT course access. Limited for the first 99 registrants! Feb. 21st until the 27th.

# At a certain company, the ratio of managers to directors is 5:3. If 10

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 53004
At a certain company, the ratio of managers to directors is 5:3. If 10  [#permalink]

### Show Tags

22 Jan 2019, 01:16
00:00

Difficulty:

45% (medium)

Question Stats:

67% (02:00) correct 33% (02:20) wrong based on 31 sessions

### HideShow timer Statistics

At a certain company, the ratio of managers to directors is 5:3. If 10 of the managers become directors, the new ratio will be 7:5. How many managers are currently at the company?

A 30
B 90
C 140
D 150
E 240

_________________
VP
Joined: 31 Oct 2013
Posts: 1136
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: At a certain company, the ratio of managers to directors is 5:3. If 10  [#permalink]

### Show Tags

22 Jan 2019, 01:25
Bunuel wrote:
At a certain company, the ratio of managers to directors is 5:3. If 10 of the managers become directors, the new ratio will be 7:5. How many managers are currently at the company?

A 30
B 90
C 140
D 150
E 240

First assume the common unit. let common unit be x.

Managers = 5x
Directors = 3x

$$\frac{5x -10}{3x + 10}$$= $$\frac{7}{5}$$

25x -50 = 21x + 70

x = 30.

Number of managers = 5*30 = 150.

Intern
Joined: 21 Jan 2019
Posts: 7
Re: At a certain company, the ratio of managers to directors is 5:3. If 10  [#permalink]

### Show Tags

22 Jan 2019, 02:52
It's option c... 10 managers became directors... Soo 5(30)-10 = 140... The question is asking how many are currently managers in the company..

Posted from my mobile device
SVP
Joined: 18 Aug 2017
Posts: 1845
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: At a certain company, the ratio of managers to directors is 5:3. If 10  [#permalink]

### Show Tags

22 Jan 2019, 04:51
1
Bunuel wrote:
At a certain company, the ratio of managers to directors is 5:3. If 10 of the managers become directors, the new ratio will be 7:5. How many managers are currently at the company?

A 30
B 90
C 140
D 150
E 240

m/d ; 5/3
3m=5d
m-10/d+10 = 7/5
solve
we get
m = 150
IMO D
_________________

If you liked my solution then please give Kudos. Kudos encourage active discussions.

Intern
Joined: 23 Oct 2013
Posts: 26
Re: At a certain company, the ratio of managers to directors is 5:3. If 10  [#permalink]

### Show Tags

22 Jan 2019, 06:28
selim wrote:
Bunuel wrote:
At a certain company, the ratio of managers to directors is 5:3. If 10 of the managers become directors, the new ratio will be 7:5. How many managers are currently at the company?

A 30
B 90
C 140
D 150
E 240

First assume the common unit. let common unit be x.

Managers = 5x
Directors = 3x

$$\frac{5x -10}{3x + 10}$$= $$\frac{7}{5}$$

25x -50 = 21x + 70

x = 30.

Number of managers = 5*30 = 150.

but the current manager is 10 less so shuldnt the ans be 140
Intern
Joined: 26 Dec 2018
Posts: 25
Concentration: Finance, Economics
Re: At a certain company, the ratio of managers to directors is 5:3. If 10  [#permalink]

### Show Tags

22 Jan 2019, 16:28
Bunuel wrote:
At a certain company, the ratio of managers to directors is 5:3. If 10 of the managers become directors, the new ratio will be 7:5. How many managers are currently at the company?

A 30
B 90
C 140
D 150
E 240

Current Ratio:5 managers to 3 directors. After 10 managers becomes directors, the ratio is 7 managers to 5 directors.

Need to determine what amount to scale by since this ratio is in its lowest form; managers=5x and directors=3x.

(5x-10)/(3x+10)=7/5 to show 10 managers being promoted to director from the old ratio(5/3) gives use the new ratio, 7/5.

25x-50=21x+70

x=30,scale by 30. Currently 5*30=150 managers and 3*30= 90 directors.

If 10 managers become directors, the new ratio is 140:100. or 7:5

Please critique if you see fit!
Re: At a certain company, the ratio of managers to directors is 5:3. If 10   [#permalink] 22 Jan 2019, 16:28
Display posts from previous: Sort by