Answer:
36 Adult Tickets. 352 Student Tickets
Step-by-step explanation:
Firstly, we have to create 2 expressions to solve a problem like this. If we use the variable s to mean student and a to mean adult, we can create the expressions:
3s + 6a = 1272 to represent how much they made with all ticket sales
s = 10a - 8 to represent how many student tickets there are.
Now, we plug our definition of s into the first expression to get:
3(10a - 8) + 6a = 1272
30a - 24 + 6a = 1272
36a - 24 = 1272
36a = 1296
a = 36
We have determined the number of adult tickets so we can move on to the number of students:
s = 10(36) - 8
s = 360 - 8
s = 352
Question Solved