MathDB
Triple Chicken McNugget

Source: 2023 AMC 12B #16

November 15, 2023
AMCAMC 12number theoryChicken McNugget Theorem2023 AMC2023 AMC 12B

Problem Statement

In Coinland, there are three types of coins, each worth 6,6, 10,10, and 15.15. What is the sum of the digits of the maximum amount of money that is impossible to have?
<spanclass=latexbold>(A)</span>11<spanclass=latexbold>(B)</span>6<spanclass=latexbold>(C)</span>8<spanclass=latexbold>(D)</span>9<spanclass=latexbold>(E)</span>10<span class='latex-bold'>(A) </span>11\qquad<span class='latex-bold'>(B) </span>6\qquad<span class='latex-bold'>(C) </span>8\qquad<span class='latex-bold'>(D) </span>9\qquad<span class='latex-bold'>(E) </span>10 (I forgot the order)