Question
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.
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.
Answers
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)
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)