{"status": "success", "data": {"description_md": "A list of $11$ positive integers has a mean of $10$, a median of $9$, and a unique mode of $8$. What is the largest possible value of an integer in the list?\n\n$\\textbf {(A) } 24 \\qquad \\textbf {(B) } 30 \\qquad \\textbf {(C) } 31\\qquad \\textbf {(D) } 33 \\qquad \\textbf {(E) } 35$", "description_html": "<p>A list of  <span class=\"katex--inline\">11</span>  positive integers has a mean of  <span class=\"katex--inline\">10</span> , a median of  <span class=\"katex--inline\">9</span> , and a unique mode of  <span class=\"katex--inline\">8</span> . What is the largest possible value of an integer in the list?</p>\n<p> <span class=\"katex--inline\">\\textbf {(A) } 24 \\qquad \\textbf {(B) } 30 \\qquad \\textbf {(C) } 31\\qquad \\textbf {(D) } 33 \\qquad \\textbf {(E) } 35</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": 3, "problem_name": "2014 AMC 10B Problem 18", "can_next": true, "can_prev": true, "nxt": "/problem/14_amc10B_p19", "prev": "/problem/14_amc10B_p17"}}