Aaron is purchasing party hats and fake mustaches for an end of the school year party. He can spend at most \$30$30dollar sign, 30. Fake mustaches cost \$3$3dollar sign, 3 each, and party hats cost \$2$2dollar sign, 2 each. If he must purchase a combination of at least 151515 mustaches and party hats, which of the following systems of inequalities best models the relationship between the number of mustaches, mmm, and party hats, ppp, described above? Choose 1 \begin{cases} m+p\geq 15\\ 3m+2p\leq 30 \end{cases}