The equation that represents the cost of all adult and student tickets sold is:
4a + 2.5s = 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 need to solve this system of equations.
To solve the system of equations, we can use substitution or elimination method.
Using substitution method:
a + s = 900
s = 900 - a
We can substitute this value of s in the first equation:
4a + 2.5(900 - a) = 2820
Now we can solve for a:
4a + 2250 - 2.5a = 2820
1.5a + 2250 = 2820
1.5a = 570
a = 380
Substituting this value of a back into the equation a + s = 900:
380 + s = 900
s = 900 - 380
s = 520
So, 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 variable s for student tickets and a for adult tickets sold. (7 points)
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
1 answer