All of the 3rd grade teachers and students from Santa Rita went on a field trip to an art museum. Tickets were $5.50 each for teachers and $3.00 each for students, and the group paid $43.00 in total.

A few weeks later, the same group visited a natural history museum where the tickets cost $16.50 each for teachers and $9.50 each for students, and the group paid $132.50 in total.

Find the number of teachers and students on the field trips.

Question

All of the 3rd grade teachers and students from Santa Rita went on a field trip to an art museum. Tickets were $5.50 each for teachers and $3.00 each for students, and the group paid $43.00 in total.

A few weeks later, the same group visited a natural history museum where the tickets cost $16.50 each for teachers and $9.50 each for students, and the group paid $132.50 in total.

Find the number of teachers and students on the field trips.