Lee Wilson
08/12/2023 · High School
A local high school needs to hire several cafeteria workers and bus drivers. Cafeteria workers earn R13 800 per month and bus drivers earn R17 250 per month. The school board gave the school permission to spend no more than R345 000 on the salaries per month, but the school must hire more than 15 people. For every bus driver hired, at least two cafeteria workers must be hired. The number of cafeteria workers must at most be three more than twice the number of bus drivers. Write a system of linear inequalities that the school could use to determine the number of cafeteria workers (C) and bus drivers (B) they can hire.
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Quick Answer
The system of linear inequalities is:
\[
\begin{align*}
1. & \quad 13800C + 17250B \leq 345000 \\
2. & \quad C + B > 15 \\
3. & \quad C \geq 2B \\
4. & \quad C \leq 2B + 3 \\
\end{align*}
\]
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