If 3 students are made to sit in a row, then 9 students do not have a seat. Alternatively, if 9 students are made to sit in a row, then 5 rows are empty. How many students have to be seated in a row so that an equal number of students sit in all the rows and all the students get seat?

• 4 students in each row.
  
  If there are R rows, then
  
  no. of students = 3R+9= 9*(R-5)= 9R-45
  6R=54
  R=9
  Students = 3*9+9=36
  
  so 36 students should sit in 9 rows and each row will have 36/9= 4 students
• 12 years agoHelpfull: Yes(6) No(1)
• 4 students have to be seated in a row.
  
  If 3 students are made to sit in a row, then 9 students do not have a seat means,
  (3n+9) students in class.
  
  if 9 students are made to sit in a row, then 5 rows are empty means,
  9*(n - 5) students in class.
  
  By the above two statement, we get scenario like
  -> 3n + 9 = 9*(n - 5)
  -> 3n + 9 = 9n - 45
  -> 6n = 54
  -> n = 9
  
  So, there are 9 rows in the class.
  As there are 9*(n - 5) students, we get 9*(9 - 5) = 36 students.
  
  So, if 36 students have to be seated in 9 rows,
  such that equal number of students sit in each of the rows, then we have to seat
  36/9 = 4 students in a row
• 12 years agoHelpfull: Yes(3) No(2)