A summer camp cookout is planned for the campers and their families. there is room for 450 people. each adult costs $7, and each

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A summer camp cookout is planned for the campers and their families. there is room for 450 people. each adult costs $7, and each

camper costs $4. there is a maximum budget of $1,150. 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 ≤ 1,150 7x 4y ≤ 450 x y ≤ 450 7x 4y ≤ 1,150 x y ≤ 1,150 4x 7y ≤ 450 x y ≤ 450 4x 7y ≤ 1,150

Mathematics

1 answer:

Yuri [45] · Answer 1 · 2023-08-22T01:55:50+03:00

Hence, the required inequality is x+y≤4, 7x+4y≤1150

<h2>What is inequality?</h2>

inequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

<h3>How to solve?</h3>

Let x be the number of adults and y be the number of campers.

There are rooms for 450 people, so

x+y≤450.

Each adult costs $7, then x adults cost $7x.

Each camper costs $4, then y campers cost $4y.

There is a maximum budget of $1,150, so

7x+4y≤1,150

Hence, you get the system of two inequalities:

x+y≤4

7x+4y≤1150

to learn more about inequality: brainly.com/question/16562548