Question

All of the 5th grade teachers and students from Almond went on a field trip to an archaeology museum. Tickets were $8.50 each for teachers and $2.00 each for students, and the group paid $29.00 in total.

A few weeks later, the same group visited a natural history museum where the tickets cost $34.00 each for teachers and $8.50 each for students, and the group paid $119.00 in total.

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

Answer 1

teachers --- t
students --- s

from first case:
8.5t + 2s = 29

from the 2nd case:
34t + 8.5s = 119

System of 2 equations in 2 unknowns.
Just your favourite method of solving.