AMC 12 2023 B Problem 16

In the state of Coinland, coins have values of 6,10 and 15 cents. Suppose x is the value in cents of the most expensive item in Coinland that cannot be purchased using these coins with exact change. What is the sum of the digits of x?

Answer Choices
A. 8
B. 10
C. 7
D. 11
E. 9