Write and solve a system of equations for each situation.

1.Your school sells tickets for its winter concert. Student tickets are $5 and adult tickets are $10. If your school sells 85 ticket and makes $600, how many of each ticket did they sell?
-Could someone tell me how to write the equations? Thanks

Work with the number of tickets, and then with the amount of money.

s + a = 85
5s + 10a = 600

a=35

s=50

Sure! To write and solve the system of equations for this situation, you can start by assigning variables to the unknown quantities.

Let's assume that the number of student tickets sold is represented by the variable "s", and the number of adult tickets sold is represented by the variable "a".

Now, let's write the first equation based on the given information. The total number of tickets sold is 85, so we can write the equation:
s + a = 85

The second equation can be written based on the total amount of money made from ticket sales. The cost of each student ticket is $5 and the cost of each adult ticket is $10. So the equation becomes:
5s + 10a = 600

Now, you have a system of equations:
s + a = 85
5s + 10a = 600

To solve this system of equations, you can use methods such as substitution or elimination to find the values of "s" and "a".