Midorl's favorite food is pasta. At the grocery store, he bought 1 package of cheese, 2 boxes of pasta, and 3 jars of marinara sauce for \( \$ 16.22 \). The next week he bought 2 packages of cheese, 1 box of pasta, and 1 jar of marinara sauce for \( \$ 12.99 \). The third week he bought 1 package of cheese, 1 box of pasta, and 1 jar of marinara sauce for \( \$ 8.74 \).
Choose the system of equations that can be solved to find the costs of cheese, \( c \), pasta, \( p \), and sauce, \( s \).
A.
\[
\left\{\begin{array}{l|}
c+2 c+c=16.22 \\
\hline 2 p+p+p=12.99 \\
3 s+s+s=8.74
\end{array}\right.
\]
C
\[
\left\{\begin{array}{l}
c+2 p+3 s=37.95 \\
\hline 2 c+p+s=37.95 \\
\hline c+p+s=37.95
\end{array}\right.
\]
B.
\[
\left\{\begin{array}{l}
c+2 c+c=37.95 \\
\hline 2 p+p+p=37.95 \\
\hline 3 s+s+s=37.95
\end{array}\right.
\]
D.
\[
\left\{\begin{array}{l}
c+2 p+3 s=16.22 \\
\hline 2 c+p+s=12.99 \\
\hline c+p+s=8.74
\end{array}\right.
\]
