georgia connections academy is selling tickets to its spring fling. adult tickets cost 4$ and tickets cost $2.50 the school makes @2,820 and sells 900 tickets. how many adult tickets and student tickets were sold.

Answer 1

Let's represent the number of adult tickets sold as a and the number of student tickets sold as s.

From the information given, we have two equations:

a + s = 900 (1) (since the total number of tickets sold is 900)
4a + 2.5s = 2820 (2) (since the total revenue from selling adult and student tickets is $2820)

To solve this system of equations, we can use the substitution method.

Rearrange equation (1):
s = 900 - a

Substitute this expression for s in equation (2):
4a + 2.5(900 - a) = 2820

Distribute 2.5:
4a + 2250 - 2.5a = 2820

Combine like terms:
1.5a + 2250 = 2820

Subtract 2250 from both sides:
1.5a = 570

Divide by 1.5:
a = 380

Substitute this value for a in equation (1):
380 + s = 900

Subtract 380 from both sides:
s = 520

So, 380 adult tickets and 520 student tickets were sold at the spring fling.