{"status": "success", "data": {"description_md": "There are 3 numbers A, B, and C, such that $1001C - 2002A = 4004$, and $1001B + 3003A = 5005$. What is the average of A, B, and C?\n\n$\\textbf{(A)}\\ 1 \\qquad \\textbf{(B)}\\ 3 \\qquad \\textbf{(C)}\\ 6 \\qquad \\textbf{(D)}\\ 9 \\qquad \\textbf{(E) }\\text{Not uniquely determined}$", "description_html": "<p>There are 3 numbers A, B, and C, such that  <span class=\"katex--inline\">1001C - 2002A = 4004</span> , and  <span class=\"katex--inline\">1001B + 3003A = 5005</span> . What is the average of A, B, and C?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 1 \\qquad \\textbf{(B)}\\ 3 \\qquad \\textbf{(C)}\\ 6 \\qquad \\textbf{(D)}\\ 9 \\qquad \\textbf{(E) }\\text{Not uniquely determined}</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": 1, "problem_name": "2002 AMC 10A Problem 9", "can_next": true, "can_prev": true, "nxt": "/problem/02_amc10A_p10", "prev": "/problem/02_amc10A_p08"}}