2023 Gauss 8 Problem 9

A grocery receipt shows the cost of three items before tax is added. A 5\% tax is added to the cost of the items. The total cost of the three items, including tax, is

\begin{array}{|ll|}\hline \text{Sponge} & \$4.20 \\ \text{Shampoo} & \$7.60 \\ \text{Soap} & \$3.20 \\ \hline\end{array}

\textbf{(A)}\ \$15.16\quad \textbf{(B)}\ \$15.08\quad \textbf{(C)}\ \$15.22\quad \textbf{(D)}\ \$15.75\quad \textbf{(E)}\ \$15.38

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Gauss contests here.