{"status": "success", "data": {"description_md": "Points $B$ and $C$ lie on $AD$. The length of $AB$ is $4$ times the length of $BD$, and the length of $AC$ is $9$ times the length of $CD$. The length of $BC$ is what fraction of the length of $AD$?\n\n$\\mathrm{(A)}\\ 1/36\\qquad\\mathrm{(B)}\\ 1/13\\qquad\\mathrm{(C)}\\ 1/10\\qquad\\mathrm{(D)}\\ 5/36\\qquad\\mathrm{(E)}\\ 1/5$", "description_html": "<p>Points  <span class=\"katex--inline\">B</span>  and  <span class=\"katex--inline\">C</span>  lie on  <span class=\"katex--inline\">AD</span> . The length of  <span class=\"katex--inline\">AB</span>  is  <span class=\"katex--inline\">4</span>  times the length of  <span class=\"katex--inline\">BD</span> , and the length of  <span class=\"katex--inline\">AC</span>  is  <span class=\"katex--inline\">9</span>  times the length of  <span class=\"katex--inline\">CD</span> . The length of  <span class=\"katex--inline\">BC</span>  is what fraction of the length of  <span class=\"katex--inline\">AD</span> ?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ 1/36\\qquad\\mathrm{(B)}\\ 1/13\\qquad\\mathrm{(C)}\\ 1/10\\qquad\\mathrm{(D)}\\ 5/36\\qquad\\mathrm{(E)}\\ 1/5</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": "2008 AMC 10B Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/08_amc10B_p07", "prev": "/problem/08_amc10B_p05"}}