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.

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) (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?
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teachers:: x
students:: 35x
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Equation::
x + 35x = 1400
36x = 1400
x = 39 when rounded up (teachers now)
35x = 1400-39 = 1361 (students now)
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New numbers::
1/20 = (39+K)/1361
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1361 = 20*39+20k
20k = 481
k = 24 (# of teachers to add)
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Cheers,
Stan H.
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