{"status": "success", "data": {"description_md": "Al, Bert, and Carl are the winners of a school drawing for a pile of Halloween candy, which they are to divide in a ratio of $3:2:1$, respectively. Due to some confusion they come at different times to claim their prizes, and each assumes he is the first to arrive. If each takes what he believes to be the correct share of candy, what fraction of the candy goes unclaimed?\n\n$\\mathrm{(A) \\ } \\frac{1}{18}\\qquad \\mathrm{(B) \\ } \\frac{1}{6}\\qquad \\mathrm{(C) \\ } \\frac{2}{9}\\qquad \\mathrm{(D) \\ } \\frac{5}{18}\\qquad \\mathrm{(E) \\ } \\frac{5}{12}$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>Al, Bert, and Carl are the winners of a school drawing for a pile of Halloween candy, which they are to divide in a ratio of  <span class=\"katex--inline\">3:2:1</span> , respectively. Due to some confusion they come at different times to claim their prizes, and each assumes he is the first to arrive. If each takes what he believes to be the correct share of candy, what fraction of the candy goes unclaimed?</p>&#10;<p> <span class=\"katex--inline\">\\mathrm{(A) \\ } \\frac{1}{18}\\qquad \\mathrm{(B) \\ } \\frac{1}{6}\\qquad \\mathrm{(C) \\ } \\frac{2}{9}\\qquad \\mathrm{(D) \\ } \\frac{5}{18}\\qquad \\mathrm{(E) \\ } \\frac{5}{12}</span> </p>&#10;<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2003 AMC 12A Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/03_amc12A_p11", "prev": "/problem/03_amc12A_p09"}}