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. (7 points)

Question

A. 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=_____

B. 900 tickets are sold for the spring fling. Write an equation to represent this situation.

a+____=_____

C. Use the above system of equations to determine how many adult and student tickets were sold.

___ adult tickets and ______ student tickets were sold

Answer 1

A. The equation that represents this situation to find the cost of all adult and student tickets sold is:

4a + 2.50s = 2820

B. Since 900 tickets are sold for the spring fling, the equation to represent this situation is:

a + s = 900

C. To determine how many adult and student tickets were sold, we need to solve the system of equations:

4a + 2.50s = 2820
a + s = 900

From equation B, we can rewrite it as a = 900 - s. Substituting this into equation A, we get:

4(900 - s) + 2.50s = 2820

Simplifying, we have:

3600 - 4s + 2.50s = 2820
-1.50s = -780
s = 520

Substituting this value of s back into equation B, we get:

a + 520 = 900
a = 900 - 520
a = 380

Therefore, 380 adult tickets and 520 student tickets were sold.