Question

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.

`x + y \leqslant 200 \\ 4x + 3y \leqslant 750`
B.

`x + y \leqslant 750 \\ 4x + 3y \leqslant 200`
C.

`x + y \leqslant 200 \\ 3x + 4y \leqslant 750`
D.

`x + y \leqslant 750 \\ 3x + 4y \leqslant 200`
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Answer 1

A)

x + y ≤ 200

4x + 3y ≤ 750

Explanation:

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Answer 2

`A.\\\\x+y\leq200\\\\4x+3y\leq750`

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