Find all School-related info fast with the new School-Specific MBA Forum
Learn more about the recent changes... close

It is currently 23 May 2013, 17:28
Customize  |  Hide

Search
Register
New posts
Unanswered

STUDENT AND TEACHER

  Question banks Downloads My Bookmarks Reviews  
  Oldest Best Reply
Search for:
 
Print view
First unread post
Author Message
TAGS:
Senior Manager
Senior Manager
Joined: 30 May 2005
Posts: 287
Followers: 1

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

GMAT Tests User
STUDENT AND TEACHER [#permalink] New post 14 Jun 2005, 05:54
.
:) hello
i found c
but how do you put this one into equation
i picked number 31 be the total number of student and teacher
hence 30 Students and 1 teacher
so 60 STUDENTS
AND 1+5 Teacher
right ? THANKS
The present ratio of students to teachers at a certain school is 30 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teachers ?
(A) 5
(B) 8
(C) 10
(D) 12
(E) 15
1 KUDOS received
Manager
Manager
Joined: 28 Sep 2004
Posts: 90
Location: New York City
Followers: 1

Kudos [?]: 4 [1] , given: 0

Re: STUDENT AND TEACHER [#permalink] New post 14 Jun 2005, 06:30
1
This post received
KUDOS
Mandy,

You can't plug in the numbers like this. The equations are as follows

EQ1
s/t = 30/1
s = 30t

EQ2
(s+50)/ (t+5) = 25/1
25(t+5) = S+50
25t + 125 - 50 = S
25t + 75 = 30t (since s = 30t from the first equation)
75 = 5t
t = 15

E

Now:
Manager
Manager
Joined: 06 Apr 2005
Posts: 54
Location: Germany
Followers: 0

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

 [#permalink] New post 14 Jun 2005, 06:54
well explained michalky. Totally agree with you.
Senior Manager
Senior Manager
Joined: 30 May 2005
Posts: 374
Followers: 1

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

GMAT Tests User
Re: STUDENT AND TEACHER [#permalink] New post 14 Jun 2005, 06:59
mandy wrote:
.
:) hello
i found c
but how do you put this one into equation
i picked number 31 be the total number of student and teacher
hence 30 Students and 1 teacher
so 60 STUDENTS
AND 1+5 Teacher
right ? THANKS
The present ratio of students to teachers at a certain school is 30 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teachers ?
(A) 5
(B) 8
(C) 10
(D) 12
(E) 15


Let the present number of students be s and present number of teachers be t.

"The present ratio of students to teachers at a certain school is 30 to 1" means:

s=30t

Second condition:

s+50 = 25(t+5) => s = 25t + 75

Solving it, we get

30t = 25t + 75

t=15

Answer is E
Senior Manager
Senior Manager
Joined: 17 Apr 2005
Posts: 379
Location: India
Followers: 1

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

GMAT Tests User
Re: STUDENT AND TEACHER [#permalink] New post 14 Jun 2005, 12:35
mandy wrote:
.
:) hello
i found c
but how do you put this one into equation
i picked number 31 be the total number of student and teacher
hence 30 Students and 1 teacher
so 60 STUDENTS
AND 1+5 Teacher
right ? THANKS
The present ratio of students to teachers at a certain school is 30 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teachers ?
(A) 5
(B) 8
(C) 10
(D) 12
(E) 15


Let the no. of teachers be x.
Then the no. of students are 30x.( use this fool proof technique for ratois).

Then after 50 students join , the total no. of students = 30x + 50
after 5 teachers join, their no would be = x + 5.

But the ratio now is 25/1.

ie (30x + 50)/(x + 5) = 25.

Solve for x to get to the answer.

HMTG.
Manager
Manager
Joined: 07 Mar 2005
Posts: 95
Followers: 1

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

 [#permalink] New post 14 Jun 2005, 16:16
15 teachers as all have stated
  [#permalink] 14 Jun 2005, 16:16
    Similar topics Author Replies Last post
Similar
Topics:
 New posts The present ratio of students to teachers at a certain Curly05 1 23 Jul 2003, 14:37
New posts if there are 3 students and 2 teachers, and they have to be p_malh 6 25 Aug 2003, 12:16
New posts The ratio of teachers to students must always be greater zargo79 6 10 Aug 2005, 19:21
Popular new posts 2 EXPERTS_POSTS_IN_THIS_TOPIC teacher and students BlueRobin 17 10 Jul 2011, 21:09
New posts 5 EXPERTS_POSTS_IN_THIS_TOPIC The present ratio of students to teachers at a certain Impenetrable 5 26 Mar 2012, 03:48
Display posts from previous: Sort by

STUDENT AND TEACHER

  Question banks Downloads My Bookmarks Reviews  
Print view
First unread post

Moderators: Bunuel, VeritasPrepKarishma

Search for:


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

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®.

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com