{"status": "success", "data": {"description_md": "The average of the numbers $1, 2, 3,\\cdots, 98, 99,$ and $x$ is $100x$. What is $x$?\n\n$\\textbf{(A)}\\ \\dfrac{49}{101} \\qquad \\textbf{(B)}\\ \\dfrac{50}{101} \\qquad \\textbf{(C)}\\ \\dfrac{1}{2} \\qquad \\textbf{(D)}\\ \\dfrac{51}{101} \\qquad \\textbf{(E)}\\ \\dfrac{50}{99}$\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>The average of the numbers  <span class=\"katex--inline\">1, 2, 3,\\cdots, 98, 99,</span>  and  <span class=\"katex--inline\">x</span>  is  <span class=\"katex--inline\">100x</span> . What is  <span class=\"katex--inline\">x</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ \\dfrac{49}{101} \\qquad \\textbf{(B)}\\ \\dfrac{50}{101} \\qquad \\textbf{(C)}\\ \\dfrac{1}{2} \\qquad \\textbf{(D)}\\ \\dfrac{51}{101} \\qquad \\textbf{(E)}\\ \\dfrac{50}{99}</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": "2010 AMC 12B Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/10_amc12B_p11", "prev": "/problem/10_amc12B_p09"}}