Question
A college with 3780 students had a teacher for every 90 students last year. This year, 133 students joined the college and 781 students left. Similarly, 13 teachers left the college, and 7 teachers joined. What is the number of students per teacher this year?
Step 1
Calculate the number of students this year: Initial number of students + Students who joined – Students who left = 3780 + 133 – 781 = 3132 students.
Step 2
Calculate the number of teachers last year: Initial number of students / Student-to-teacher ratio = 3780 / 90 = 42 teachers.
Step 3
Calculate the number of teachers this year: Initial number of teachers + Teachers who joined – Teachers who left = 42 + 7 – 13 = 36 teachers.
Step 4
Calculate the student-to-teacher ratio for this year: Number of students / Number of teachers = 3132 / 36 = approximately 87 students per teacher.
Answer
The number of students per teacher this year is approximately 87.