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 and ___ Student tickets
1. 4a + 2.5s = 2820
2. a + s = 900
To solve for the number of adult and student tickets sold, we can use substitution or elimination. Let's use elimination:
Multiply equation 2 by 4 to get 4a + 4s = 3600
Now we can subtract equation 1 from equation 2:
4a + 4s = 3600
-(4a + 2.5s = 2820)
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1.5s = 780
s = 520
Now we can substitute s = 520 into equation 2 to solve for a:
a + 520 = 900
a = 380
Therefore, 380 adult tickets and 520 student tickets were sold.