Answer:
100 adults and 50 students should attend
and,
The maximum amount raised = $250
Explanation:
Given:
Admission for adults = $2.00
Admission for students = $1.00
Total persons that can be held in theater = 150
For every 2 adults there must be 1 student
let the number of adults be 'x' and the number of students be 'y'
thus,
we can write the above constraints mathematically as:
x + y = 150 ...............(1)
and,
x = 2y .....(2) (for 1 student i.e y = 1, there should be 2 adults i.e x = 2 × 1 = 2)
substituting the 'x' from 2 in the equation 1, we get
2y + y = 150
or
y = 50
Thus,
x = 2 × 50 = 100 (from equation 2)
Hence,
100 adults and 50 students should attend
and,
The maximum amount raised = $2 × 100 + $1 ×50 = $250
