{"status": "success", "data": {"description_md": "Sally has five red cards numbered $1$ through $5$ and four blue cards numbered $3$ through $6$. She stacks the cards so that the colors alternate and so that the number on each red card divides evenly into the number on each neighboring blue card. What is the sum of the numbers on the middle three cards? \n\n$\\mathrm{(A) \\ } 8\\qquad \\mathrm{(B) \\ } 9\\qquad \\mathrm{(C) \\ } 10\\qquad \\mathrm{(D) \\ } 11\\qquad \\mathrm{(E) \\ } 12$", "description_html": "<p>Sally has five red cards numbered  <span class=\"katex--inline\">1</span>  through  <span class=\"katex--inline\">5</span>  and four blue cards numbered  <span class=\"katex--inline\">3</span>  through  <span class=\"katex--inline\">6</span> . She stacks the cards so that the colors alternate and so that the number on each red card divides evenly into the number on each neighboring blue card. What is the sum of the numbers on the middle three cards?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A) \\ } 8\\qquad \\mathrm{(B) \\ } 9\\qquad \\mathrm{(C) \\ } 10\\qquad \\mathrm{(D) \\ } 11\\qquad \\mathrm{(E) \\ } 12</span> </p>\n<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": 4, "problem_name": "2003 AMC 10A Problem 24", "can_next": true, "can_prev": true, "nxt": "/problem/03_amc10A_p25", "prev": "/problem/03_amc10A_p23"}}