SOLUTION: Three fourths of the participants in a regional training program are from private universities. Two thirds of these are from Teacher Education Institutions. If there are 96 parti

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Question 1187029: Three fourths of the participants in a regional training program are from private universities. Two thirds of
these are from Teacher Education Institutions. If there are 96 participants, how many of them represent
private Teacher Education Institutions?
Found 2 solutions by Theo, ikleyn:
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
number of participants = 96
3/4 of all participants are from private universities.
2/3 of those are from private universities.

3/4 * 96 = 72 from private universities.

2/3 of those = 2/3 * 72 = 48.

your solution is that 48 participants are from teacher education institutions that are private universities.

48/96 = .5
3/4 * 2/3 = .5

Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
.
Three fourths of the participants in a regional training program are from private universities.
Two thirds of these are from Teacher Education Institutions. If there are 96 participants,
how many of them represent private Teacher Education Institutions?
~~~~~~~~~~~~~~~ 

We solve it in two steps.


First, we find the number of participants who are from private universities.


They are 3/4 of the total 96 students

     the number of participants who are from private universities =  = 72.


Next step we find the number of those who represent private Teacher Education Institutions.


They are 2/3 of 72, i.e.   = 48.      ANSWER




A person experienced in solving such problems will solve it in one line


     =  =  = 48.

Solved and explained.



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