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.

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.

Answer 1

x + y ≤ 525

9x + 5y ≤ 1200

Answer 2

To represent the given real-world scenario, we can use the following system of inequalities:

1) The total number of people attending the cookout must not exceed the maximum capacity of 525 people:
x + y <= 525

2) The total cost of the cookout must not exceed the maximum budget of $1,200:
9x + 5y <= 1200

Therefore, the system of inequalities is:

x + y <= 525
9x + 5y <= 1200