Answer:
number of guest tickets, g, is 100 tickets
number of student tickets, s, is 125 tickets
Explanation:
Given;
total number of tickets sold, t = 225 tickets
cost of each guest ticket, = $5.5
cost of each student ticket, = $3.5
total cost of the tickets, Tc = $987.5
number of guest tickets = g
number of student tickets, = s
g(5.5) + s(3.5) = 987.5 ------- (1)
g + s = 225 ----------- (2)
From equation (2); s = 225 - g
Substitute the value of g in equation (1)
5.5g + 3.5(225 - g) = 987.5
5.5g + 787.5 - 3.5g = 987.5
5.5g - 3.5g = 987.5 - 787.5
2g = 200
g = 200 / 2
g = 100 tickets
Then, s = 225 - g
s = 225 - 100
s = 125 tickets