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A clothier who only makes shirts and pants can make a shirt in $4$ hours and a pair of pants in $6$ hours. Which of the following equations shows the number of shirts, $s$, and the number of pants, $p$, that the clothier can make in a $40$ hour work week?$\newline$Choose $1$ answer:$\newline$(A) $6 s+4 p=40$$\newline$(B) $4 s+6 p=40$$\newline$(C) $\frac{s}{4}+\frac{p}{6}=40$$\newline$(D) $\frac{s}{6}+\frac{p}{4}=40$