SOLUTION: The average age of a group of teachers and students is 20. The average age of the teachers is 35. The average age of the is 15. What s the ratio of teachers to students The answ

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The average age of a group of teachers and students is 20. The average age of the teachers is 35. The average age of the is 15. What s the ratio of teachers to students The answ      Log On


   

Question 427020: The average age of a group of teachers and students is 20. The average age of the teachers is 35. The average age of the is 15. What s the ratio of teachers to students The answer need to be a fraction in simplest form,
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi

Let x and (1-x) represent the fractional portion of teachers and students respectively 

 35x + 15(1-x) = 20

        20x = 5

          x = 1/4, are teachers and 3/4 are students.

ratio of teachers to students is 1:3



CHECKING our Answer***

 .25*35 + .75*15 = 8.75 + 11.25 = 20