SOLUTION: in a controversial school vote only 19% of the teachers voted yes, whereas 95% of the students voted yes. If all the teachers and students voted and 91% of the voters voted yes, w

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: in a controversial school vote only 19% of the teachers voted yes, whereas 95% of the students voted yes. If all the teachers and students voted and 91% of the voters voted yes, w      Log On


   



Question 279913: in a controversial school vote only 19% of the teachers voted yes, whereas 95% of the students voted yes. If all the teachers and students voted and 91% of the voters voted yes, what is the student to teacher ratio?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
.19T+.95S=.91(T+S)
.19T+.95S=.91T+.91S
.19T-.91T=.91S-.95S
-.72T=-.04S
.72/.04=18/1 IS THE RATIO OF STUDENTS TO TEACHERS.
PROOF:
.19*1+.95*18=.91(1+18)
.19+17.1=.91*19
17.29=17.29