A summer camp cookout is planned for the campers and their families. There is room for 200 people. Each adult costs $4, and each camper costs $3. There is a maximum budget of $750. 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.

A.
[tex]x + y \leqslant 200 \\ 4x + 3y \leqslant 750[/tex]
B.
[tex]x + y \leqslant 750 \\ 4x + 3y \leqslant 200[/tex]
C.
[tex]x + y \leqslant 200 \\ 3x + 4y \leqslant 750[/tex]
D.
[tex] x + y \leqslant 750 \\ 3x + 4y \leqslant 200[/tex]

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Answer:

[tex]A.\\\\x+y\leq200\\\\4x+3y\leq750[/tex]

Step-by-step explanation:

x - number of adults

y - number of campers

The room for 200 people: x + y ≤ 200

Each adult costs $4, and each camper costs $3: 4x and 3y

A maximum budget of $750: 4x + 3y ≤ 750

Answer:

A)  

x + y ≤ 200

4x + 3y ≤ 750

Step-by-step explanation:

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