Ellen bought two types of snack bags for a school event. Each box of chips Ellen bought contained $24$ bags and cost $\$11$. Each box of crackers Ellen bought contained $16$ bags and cost $\$9$. It cost Ellen $\$497$ before tax to buy $968$ bags. If $x$ is the number of boxes of chips and $y$ is the number of boxes of crackers that Ellen bought, which of the following systems of equations represents this situation?