Answer: In first question, Number of student's ticket(s) = 400
And number of adult's ticket(d) = 100
In second question, The goal of $3050 fell by $710
Step-by-step explanation:
1. Since, Here d represents the number of adult tickets and s represents the number of student tickets.
And, all 500 seats are filled for a performance.
Therefore, s + d = 500 ------(1)
Also, the price of one adult's ticket = $8.50
The price of one student's ticket= $5.50
And, their is a revenue of $3050 by selling the tickets.
Thus, 8.50 d + 5.50 s = 3050 --------(2)
By solving the equation (1) and equation (2),
we get, s = 400, d=100
Thus, Number of student's ticket(s) = 400
And number of adult's ticket(d) = 100
2. According to the question,
s = 2 d ----- (3)
s + d = 360 -----(4)
By solving equation (3) and (4),
We get, s = 240 and d = 120
thus, the total revenue after selling 360 tickets = 8.50 × 120 + 5.50 × 240 = $2340
But, the goal is $3050 ( according to the question)
Thus the total fall = 3050 - 2340 = $710
