Last visit was: 12 Jul 2024, 17:54 It is currently 12 Jul 2024, 17:54
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
SORT BY:
Date
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 94302
Own Kudos [?]: 640179 [1]
Given Kudos: 84576
Send PM
VP
VP
Joined: 31 Oct 2013
Posts: 1259
Own Kudos [?]: 1190 [0]
Given Kudos: 635
Concentration: Accounting, Finance
GPA: 3.68
WE:Analyst (Accounting)
Send PM
Intern
Intern
Joined: 21 Jan 2019
Posts: 6
Own Kudos [?]: 1 [0]
Given Kudos: 4
Send PM
GMAT Club Legend
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 7962
Own Kudos [?]: 4207 [1]
Given Kudos: 243
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Send PM
Re: At a certain company, the ratio of managers to directors is 5:3. If 10 [#permalink]
1
Kudos
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
Intern
Intern
Joined: 23 Oct 2013
Posts: 33
Own Kudos [?]: 3 [0]
Given Kudos: 232
Send PM
Re: At a certain company, the ratio of managers to directors is 5:3. If 10 [#permalink]
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.

D is the correct answer.




but the current manager is 10 less so shuldnt the ans be 140
Intern
Intern
Joined: 26 Dec 2018
Posts: 20
Own Kudos [?]: 6 [0]
Given Kudos: 44
Concentration: Finance, Economics
Send PM
Re: At a certain company, the ratio of managers to directors is 5:3. If 10 [#permalink]
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!
GMAT Club Bot
Re: At a certain company, the ratio of managers to directors is 5:3. If 10 [#permalink]
Moderator:
Math Expert
94302 posts