MathDB
Hunting for Treasure

Source: 2017 AMC 8 #17

November 22, 2017
AMC 8

Problem Statement

Starting with some gold coins and some empty treasure chests, I tried to put 9 gold coins in each treasure chest, but that left 2 treasure chests empty. So instead I put 6 gold coins in each treasure chest, but then I had 3 gold coins left over. How many gold coins did I have? <spanclass=latexbold>(A)</span>9<spanclass=latexbold>(B)</span>27<spanclass=latexbold>(C)</span>45<spanclass=latexbold>(D)</span>63<spanclass=latexbold>(E)</span>81<span class='latex-bold'>(A) </span>9\qquad<span class='latex-bold'>(B) </span>27\qquad<span class='latex-bold'>(C) </span>45\qquad<span class='latex-bold'>(D) </span>63\qquad<span class='latex-bold'>(E) </span>81