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Step-by-step explanation:
Given:
Tickets sold = 282 tickets
Ticket sales = ₱ 22,450.00
Student = ₱75.00
Non-student = ₱100.00
Solution:
Let x = number of student tickets
Let y = number of non-student tickets
Total tickets sold = students + non- students
x + y = 282 ---> Equation 1
Total ticket sales = quantity x cost
75x + 100y = 22,450 ---> Equation 2
Isolate variable x in Equation 1
x + y = 282
x = 282 - y ---> Equation 3
Substitute Equation 3 in Equation 2
75x + 100y = 22,450
75(282 - y) + 100y = 22,450
21,150 - 75y + 100y = 22,450
-75y + 100y = 22,450 - 21,150
25y = 1300
[tex] \frac{25y}{25} = \frac{1300}{25} [/tex]
y = 52
Substitute y = 52 into Equation 1
x + y = 282
x + 52 = 282
x = 282 - 52
x = 230
Answer:
230 tickets for students and 52 tickets for non-students were sold.