{"status": "success", "data": {"description_md": "At Typico High School, $60\\%$ of the students like dancing, and the rest dislike it. Of those who like dancing, $80\\%$ say that they like it, and the rest say that they dislike it. Of those who dislike dancing, $90\\%$ say that they dislike it, and the rest say that they like it. What fraction of students who say they dislike dancing actually like it?\n\n$\\textbf{(A)}\\ 10\\%\\qquad\\textbf{(B)}\\ 12\\%\\qquad\\textbf{(C)}\\ 20\\%\\qquad\\textbf{(D)}\\ 25\\%\\qquad\\textbf{(E)}\\ 33\\frac{1}{3}\\%$\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>At Typico High School,  <span class=\"katex--inline\">60\\%</span>  of the students like dancing, and the rest dislike it. Of those who like dancing,  <span class=\"katex--inline\">80\\%</span>  say that they like it, and the rest say that they dislike it. Of those who dislike dancing,  <span class=\"katex--inline\">90\\%</span>  say that they dislike it, and the rest say that they like it. What fraction of students who say they dislike dancing actually like it?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 10\\%\\qquad\\textbf{(B)}\\ 12\\%\\qquad\\textbf{(C)}\\ 20\\%\\qquad\\textbf{(D)}\\ 25\\%\\qquad\\textbf{(E)}\\ 33\\frac{1}{3}\\%</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": "2017 AMC 12B Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/17_amc12B_p11", "prev": "/problem/17_amc12B_p09"}}