Three hundred and fifty-eight tickets to the school basketball game were sold. Student tickets were $1.50 and non-student tickets were 3.25. The school made $752.25. How many student tickets were sold?
s + a = 358 so s =358-a
1.5 s + 3.25 a =752.25
1.5(358-a) + 3.25 a = 752.25
find a then s
To find the number of student tickets sold, we can use algebra. Let's assume the number of student tickets sold is "s" and the number of non-student tickets sold is "n".
Given:
The total number of tickets sold is 358.
The price of a student ticket is $1.50.
The price of a non-student ticket is $3.25.
The total revenue from ticket sales is $752.25.
We can set up two equations to represent the given information:
1. The total number of tickets sold equation:
s + n = 358
2. The total revenue equation:
(1.50 * s) + (3.25 * n) = 752.25
Now, we can solve these equations simultaneously to find the value of "s" (number of student tickets sold).
Let's solve the first equation for "n":
n = 358 - s
Substituting this value of "n" into the second equation:
(1.50 * s) + (3.25 * (358 - s)) = 752.25
Now, we can simplify and solve for "s":
1.50s + 1163.5 - 3.25s = 752.25
-1.75s + 1163.5 = 752.25
-1.75s = 752.25 - 1163.5
-1.75s = -411.25
s = (-411.25) / (-1.75)
s = 235
Therefore, 235 student tickets were sold.