All of the 4th grade teachers and students from Cambridge went on a field trip to an art museum. Tickets were $5.50 per teacher and $3.00 for each student. This group paid $29.00 in total. The next month, the same group visited a science museum where the tickets were $22.00 for teachers and $11.50 for students. The group paid $113.00 in total. Find the number of teachers and students on the field trips.
