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

Let:
x = numbers of adults
y = numbers of campers
We know that each adults (x) cost $9, so it’s 9x.
We also know that we act camper (y) cost $5, so it’s 5y.
There is a budget of $1,200, thus the cost of x and y must less than or equal to $1,200.
Therefore we have 9x + 5y ≤ $1,200

We also know that the number of people are 525, so the number of camper and adult must less than or equal to the sum of all people. Therefore, we have
x + y ≤ 525

Answer : 9x + 5y ≤ $1,200 and x + y ≤ 525

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