SOLUTION: Please help me solve There are 1400 students in a school. The teacher to student ratio is 1:35. How many additional teachers are needed to reduce the ratio to 1:20? Thank you.

Algebra ->  Proportions  -> Lessons -> SOLUTION: Please help me solve There are 1400 students in a school. The teacher to student ratio is 1:35. How many additional teachers are needed to reduce the ratio to 1:20? Thank you.      Log On


   

Question 1073801: Please help me solve
There are 1400 students in a school. The teacher to student ratio is 1:35. How many additional teachers are needed to reduce the ratio to 1:20?
Thank you.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
There are 1400 students in a school. The teacher to student ratio is 1:35. How many additional teachers are needed to reduce the ratio to 1:20?
------------------------
teachers:: x
students:: 35x
--------
Equation::
x + 35x = 1400
36x = 1400
x = 39 when rounded up (teachers now)
35x = 1400-39 = 1361 (students now)
-------
New numbers::
1/20 = (39+K)/1361
-----
1361 = 20*39+20k
20k = 481
k = 24 (# of teachers to add)
-----------
Cheers,
Stan H.
-------------