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 answer

a + 2.5s = 2820

a + s = 900

Using substitution, we can solve for one variable in terms of the other:

a = 900 - s

Substituting into the first equation:

(900 - s) + 2.5s = 2820

1.5s = 1920

s = 1280

Substituting back into the second equation:

a + 1280 = 900

a = -380 (this doesn't make sense, since we can't have negative tickets, so there must have been an error in the problem)