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A cashier counts $\$ 15.75$ in quarters and dimes at the end of a workday. Which of the following equations shows the relationship between the number of quarters, $q$, and dimes, $d$, that the cashier counted?$\newline$Choose $1$ answer:$\newline$(A) $\frac{0.25}{q}+\frac{0.10}{d}=15.75$$\newline$(B) $\frac{q}{0.25}+\frac{d}{0.10}=15.75$$\newline$(C) $0.35(q+d)=15.75$$\newline$(D) $0.25 q+0.10 d=15.75$