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Aaron is purchasing party hats and fake mustaches for an end of the school year party. He can spend at most $\$ 30$. Fake mustaches cost $\$ 3$ each, and party hats cost $\$ 2$ each. If he must purchase a combination of at least $15$ mustaches and party hats, which of the following systems of inequalities best models the relationship between the number of mustaches, $m$, and party hats, $p$, described?$\newline$Choose $1$ answer:$\newline$(A) $\left\{\begin{array}{l}m+p \geq 15 \\ 3 m+2 p \leq 30\end{array}\right.$$\newline$(B) $\left\{\begin{array}{l}m+p \leq 15 \\ 3 m+2 p \geq 30\end{array}\right.$$\newline$(C) $\left\{\begin{array}{l}3 m+2 p \geq 15 \\ m+p \leq 30\end{array}\right.$$\newline$(D) $\left\{\begin{array}{l}3 m+2 p \leq 15 \\ m+p \geq 30\end{array}\right.$