Question
Download Solution PDFA group of 1280 individuals, consisting of teachers and students, is attending a conference. For every 15 students, there is one teacher. How many teachers are in the group ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven :
A group of 1280 individuals, consisting of teachers and students, is attending a conference.
For every 15 students, there is one teacher.
Explanation :
Let the number of teachers be = t
Let the number of students be = s
According to the question for every 15 students, there is one teacher. This can be written as :-
s = 15t
Also, given the total number of individuals. Therefore,
s + t = 1280
Now, putting the value of s in the second equation :
15t + t = 1280
16t = 1280
t = 80
Now, substituting the value of t in the first equation :
s + 80 = 1280
s = 1200
Thus, number of the teachers in the group is 80.
Hence, "80" is the correct answer.
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