Answer:
Students= 6
Teachers= 2
Step-by-step explanation:
Given: Art museum trip:
Cost of ticket= $5.5 per teacher and $3 per student.
Total amount paid= $29.
Science trip:
Cost of ticket= $22 per teacher and $11.5 per student.
Total amount paid= $113.
Lets assume number of teacher be "x" and number of students be "y".
Now, forming an equation for cost of each trip.
we know, total cost=
∴Art museum trip, ---- 1st equation
Science museum trip, ---- 2nd equation
Next using elimination method to find number teacher and students
Multiplying both side of 1st equation by 4
∴
changing sign of 2nd equation on both side and solving it.
∴
Dividing both side by 0.5
Hence, number of students on field trip was 6.
Subtituting the value of y in 1st equation to find the number of teachers in field trip.
⇒
⇒
Subtracting both side by 18
⇒
Dividing both side by 5.5
⇒
Hence, there were 2 teachers on field trips.