Answer:Faculty is 11 and students is 37
Explanation:
To determine the number of students and faculty who bought tickets, we can set up a system of equations based on the given information.
Let's assume that the number of student tickets sold is represented by 's' and the number of faculty tickets sold is represented by 'f'.
From the given information, we have two equations:
Equation 1: s + f = 48 (Total number of tickets sold is 48)
Equation 2: 18s + 24f = 930 (Total revenue from ticket sales is $930)
To solve this system of equations, we can use a method called substitution or elimination.
Let's use the substitution method in this case:
From Equation 1, we can rewrite it as s = 48 - f.
Substituting this value of 's' into Equation 2, we have:
18(48 - f) + 24f = 930.
Expanding and simplifying the equation:
864 - 18f + 24f = 930.
Combining like terms:
6f = 66.
Dividing both sides of the equation by 6:
f = 11.
Now, we know that the number of faculty tickets sold is 11.
Substituting this value of 'f' back into Equation 1, we can find the number of student tickets:
s + 11 = 48,
s = 48 - 11,
s = 37.
Therefore, the number of students who bought tickets is 37, and the number of faculty who bought tickets is 11