Answer:
165 student tickets and 435 adult tickets were sold
Step-by-step explanation:
In this question, we are asked to calculate the number of students and adults tickets sold.
since we do not know these numbers, let the number of student tickets sold be s and the number of adult tickets sold be a
From the question, we are told that a total of 600 tickets were sold.
mathematically, this means that;
a + s = 600 •(i)
The price of students ticket sold is $13.5, this means the total money realized from sales of student ticket = $13.5s
The price of adult ticket sold is $15, this means the total money realized from the sales of adult ticket is $15a
Adding both yields a total of $8,587.5
Hence, mathematically;
13.5s + 15a = 8,587.5. ••••••••(ii)
From equation 1, a = 600 - s , we can input this in the second equation to yield;
13.5s + 15(600-s) = 8,587.5
13.5s + 9,000 - 15s = 8,587.5
2.5s = 9,000 - 8587.5
2.5s = 412.5
s = 412.5/2.5
s = 165 student tickets
Number of adult tickets = 600 - s = 600 - 165 = 435
