Respuesta :
Answer:
adults ticket sold= 60
student tickets =125
Step-by-step explanation:
So we need to make a system of equations. Lets say the variable a stands for adults tickets and the variable s stands for student tickets. Our first equation is going to be
s-a=65
that is because there are 65 more student tickets than adults.
the second equation is going to be
3s+5a=675
that is because the tickets will add up 675.
Now we have to make sure one of the variable cancels out when we add them together. So we have to multiply the first equation by 5.
5[s-a=65]
3s+5a=675
So then we end up with
5s-5a=325
3s-5a=675
We need to add them together and we end up with.
8s=1000
We need to divide by 8
s then equals 125.
So there are 125 students tickets.
We now plug 125 back into one of the equations. To make things easy lets to the first equation.
s-a=65
125-a=65
move the 125 over
-a=-60
multiply by a negative
a=60
So you have 60 adults tickets
