The equation that represents the cost of all adult and student tickets sold is:
4a + 2.50s = 2820
The equation that represents the number of tickets sold is:
a + s = 900
To determine how many adult and student tickets were sold, we can solve this system of equations.
One way to solve this system of equations is by substitution. We can solve the second equation for a and substitute it into the first equation:
a = 900 - s
Substituting this into the first equation:
4(900 - s) + 2.50s = 2820
Distributing and combining like terms:
3600 - 4s + 2.50s = 2820
3600 - 1.50s = 2820
Subtracting 3600 from both sides:
-1.50s = -780
Dividing by -1.50:
s = 520
Substituting this back into the second equation:
a + 520 = 900
Subtracting 520 from both sides:
a = 380
Therefore, 380 adult tickets and 520 student tickets were sold.
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 variables for student tickets and a for adult tickets sold.
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 system of equations to determine how many adult and student tickets were sold.
_ adult tickets and _ student tickets were sold.
Word bank:
309
2.50
2820
S
4
900
520
a
390
6.5
380
591
510
1 answer