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A fruit stand has to decide what to charge for their produce. They need $\$ 10$ for $4$ apples and $4$ oranges. They also need $\$ 12$ for $6$ apples and $6$ oranges. We put this information into a system of linear equations.$\newline$Can we find a unique price for an apple and an orange?$\newline$Choose $1$ answer:$\newline$A Yes; they should charge $\$ 1.00$ for an apple and $\$ 1.50$ for an orange.$\newline$B Yes; they should charge $\$ 1.00$ for an apple and $\$ 1.00$ for an orange.$\newline$(C) No; the system has many solutions.$\newline$(D) $\mathrm{No}$; the system has no solution.