Answer:
3 adults and 24 students
Step-by-step explanation:
We can set-up a system of equations to find the number of adults. We know students and adults attended. We will let s be the number of students and a be the number of adults. Since 27 tickets were purchased, then s+a=27.
We also know they were purchased for $60 and adult tickets cost $4 and student tickets cost $2. We can write 2s+4a=60.
We will solve by substituting one equation into the other. We start by solving the first equation for c. s+a=27 becomes s=27-a.
Now we substitute s=27-a into 2s+4a=60. Simplify and isolate the variable a.
2s+4a=60
2(27-a)+4a=60
54-2a+4a=60
54+2a=60
54-54+2a=60-54
2a=6
a=3
This means that 3 adults attended and 24 students attended since 3+24=27.
