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STUDENT AND TEACHER

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Senior Manager
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STUDENT AND TEACHER [#permalink] New post 14 Jun 2005, 04:54
.
:) 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
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Re: STUDENT AND TEACHER [#permalink] New post 14 Jun 2005, 05:30
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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:
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 [#permalink] New post 14 Jun 2005, 05:54
well explained michalky. Totally agree with you.
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Re: STUDENT AND TEACHER [#permalink] New post 14 Jun 2005, 05:59
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
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Re: STUDENT AND TEACHER [#permalink] New post 14 Jun 2005, 11:35
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.
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 [#permalink] New post 14 Jun 2005, 15:16
15 teachers as all have stated
  [#permalink] 14 Jun 2005, 15:16
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