Georgia Connections Academy is selling tickets to its Spring Fling. Adult tickets cost $4 and student tickets cost $2.50. The school makes $2,820. Write an equation that represents this situation to find the cost of all adult and student tickets sold. Use the variable s for student tickets and a for adult tickets sold.
a +
s=
.
900 tickets are sold for the spring fling. Write an equation to represent this situation.
a+
=
Use the above systems of equations to determine how many adult and student tickets were sold.
Adult tickets:
student tickets:
Equation 1: 4a + 2.5s = 2820
Equation 2: a + s = 900
To solve for a and s, we can use substitution or elimination method. Let's use elimination here.
Multiplying Equation 2 by -4 to eliminate a:
-4a - 4s = -3600
Adding this to Equation 1:
-1.5s = -780
Solving for s:
s = 520
Substituting s back into Equation 2:
a + 520 = 900
Solving for a:
a = 380
Therefore, 380 adult tickets and 520 student tickets were sold.