Question

A summer camp cookout is planned for the campers and their families. There is room for 525 people. Each adult costs $9, and each camper costs $5. There is a maximum budget of $1,200. Write the system of inequalities to represent this real-world scenario, where x is the number of adults and y is the number of campers.

x + y ≤ 525
5x + 9y ≤ 1,200
x + y ≤ 1,200
5x + 9y ≤ 525
x + y ≤ 525
9x + 5y ≤ 1,200
x + y ≤ 1,200
9x + 5y ≤ 525

Answer 1

For the question is it 8 choices?

Answer 2

if x is the # of adults and y is the # of campers, and there is only room for 525, that means x and y must sum up to be, at most, 525

additionally, if each adult costs $9, and there are x adults, that means x adults costs 9*x or 9x. similarly, y campers costs 5x. the total cost must be less than or equal to the total budget $1,200

should be straightforward to set up the inequalities from there