Question

Question in picture

Answer 1

@jim_thompson5910

Answer 2

Let

x = number of students
y = number of adults

Answer 3

"the theater can hold no more than 150 people"

this means that the sum of students (x) and adults (y) cannot be more than 150

so...

x+y <= 150

is one constraint represented by an inequality

Answer 4

"every two parents must bring at least one student"

so if you have 2 parents, you must have at least one student
4 parents ---> at least 2 students
6 parents ---> at least 3 students
8 parents ---> at least 4 students
10 parents ---> at least 5 students
etc etc

in general, if you have y parents, then you must have at least x/2 students, so

x >= y/2

and you can rewrite that as

2x >= y

which turns into

y <= 2x

Answer 5

with me so far?