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 costs4,and each camper costs3. 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. \begin{gathered}x + y \leqslant 200 \\ 4x + 3y \leqslant 750\end{gathered}x+y⩽2004x+3y⩽750​
B. \begin{gathered}x + y \leqslant 750 \\ 4x + 3y \leqslant 200\end{gathered}x+y⩽7504x+3y⩽200​
C. \begin{gathered}x + y \leqslant 200 \\ 3x + 4y \leqslant 750\end{gathered}x+y⩽2003x+4y⩽750​
D. \begin{gathered} x + y \leqslant 750 \\ 3x + 4y \leqslant 200\end{gathered}x+y⩽7503x+4y⩽200​

Answer 1

Option A

The system of inequalities

x + y ≤ 200

4x + 3y ≤ 750

Explanation:

Let the

Number of Adults = x

Number of campers = y

A summer camp cookout is planned for the campers and their families.

There is room for 200 people.

x + y ≤ 200

Each adult costs $4, and and each camper costs $3. There is a maximum budget of $750.

Maximum means the total cost is equal to or less than $750

$4 × x + $3 × y ≤ $750

4x + 3y ≤ 750

The system of inequalities

x + y ≤ 200

4x + 3y ≤ 750

Option A is correct