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.
all we know is that
4a + 2.50c = 2820
Now tell us how many tickets were sold (a+s), and we can proceed.
You are correct. We cannot determine how many adult and student tickets were sold without additional information.
900 tickets were sold (a+s)
well wtf is the last question of this
Using the two pieces of information given, we can set up a system of two equations in two variables:
4a + 2.5s = 2820 (equation representing the revenue from ticket sales)
a + s = 900 (equation representing the total number of tickets sold)
To solve for a and s, we can use substitution or elimination. For this example, we will use elimination:
Multiply the second equation by 2.5 to eliminate s:
2.5a + 2.5s = 2250
Subtract this equation from the first equation:
4a + 2.5s - (2.5a + 2.5s) = 2820 - 2250
Simplify and solve for a:
1.5a = 570
a = 380
Substitute this value of a into either equation to solve for s:
380 + s = 900
s = 520
Therefore, 380 adult tickets and 520 student tickets were sold.
To represent the situation and find the cost of all adult and student tickets sold, we can set up the following equation:
4a + 2.50s = 2,820
This equation represents the total revenue earned from selling adult and student tickets.
Now, to represent the situation of selling 900 tickets for the Spring Fling, we can set up the following equation:
a + s = 900
This equation represents the total number of tickets sold (900) by adding the number of adult tickets (a) and the number of student tickets (s).
To determine how many adult and student tickets were sold, we can solve the system of equations formed by these two equations simultaneously.
Using the elimination method, we can multiply the second equation by -4 to eliminate the variable "a".
-4(a + s) = -4(900)
-4a - 4s = -3600
-4a - 4s + 4a + 2.50s = -3600 + 2,820
-1.50s = -780
s = 520
Now that we have the value of s, we can substitute it back into one of the original equations to find the value of a. Let's substitute it into the first equation:
4a + 2.50(520) = 2,820
4a + 1300 = 2,820
4a = 1,520
a = 380
Therefore, 380 adult tickets and 520 student tickets were sold for the Spring Fling.