AMC 10B/12B 2025 (Problem 8/6)

Number TheoryMedium

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\ne0

." After a pause, Max says, "That was a good price." What is

A+B

\text{(A)}\;7

\text{(B)}\;8

\text{(C)}\;11

\text{(D)}\;14

\text{(E)}\;15