Math Club Sweatshirts

Emmy says to Max, ``I ordered 36 math club sweatshirts today.'' Max asks,
``How much did each shirt cost?'' Emmy responds, ``I'll give you a hint.
The total cost was
$\(\underline{A}\,\underline{B}\,\underline{B}.\underline{B}\,\underline{A}\),
where $A$ and $B$ are digits and $A\neq 0$.'' After a pause, Max says,
``That was a good price.'' What is $A+B$?

\[
\textbf{(A)}\ 7 \qquad
\textbf{(B)}\ 8 \qquad
\textbf{(C)}\ 11 \qquad
\textbf{(D)}\ 14 \qquad
\textbf{(E)}\ 15
\]

Solutions

• Solution 1