{"status": "success", "data": {"description_md": "Let points $A = (0,0) , \\ B = (1,2), \\ C = (3,3),$ and $D = (4,0)$. Quadrilateral $ABCD$ is cut into equal area pieces by a line passing through $A$. This line intersects $\\overline{CD}$ at point $\\left (\\frac{p}{q}, \\frac{r}{s} \\right )$, where these fractions are in lowest terms. What is $p + q + r + s$?\n\n$\\textbf{(A)} \\ 54 \\qquad \\textbf{(B)} \\ 58 \\qquad  \\textbf{(C)} \\ 62 \\qquad \\textbf{(D)} \\ 70 \\qquad \\textbf{(E)} \\ 75$\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>Let points  <span class=\"katex--inline\">A = (0,0) , \\ B = (1,2), \\ C = (3,3),</span>  and  <span class=\"katex--inline\">D = (4,0)</span> . Quadrilateral  <span class=\"katex--inline\">ABCD</span>  is cut into equal area pieces by a line passing through  <span class=\"katex--inline\">A</span> . This line intersects  <span class=\"katex--inline\">\\overline{CD}</span>  at point  <span class=\"katex--inline\">\\left (\\frac{p}{q}, \\frac{r}{s} \\right )</span> , where these fractions are in lowest terms. What is  <span class=\"katex--inline\">p + q + r + s</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)} \\ 54 \\qquad \\textbf{(B)} \\ 58 \\qquad  \\textbf{(C)} \\ 62 \\qquad \\textbf{(D)} \\ 70 \\qquad \\textbf{(E)} \\ 75</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": 3, "problem_name": "2013 AMC 12A Problem 13", "can_next": true, "can_prev": true, "nxt": "/problem/13_amc12A_p14", "prev": "/problem/13_amc12A_p12"}}