{"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 $\\bigg(\\dfrac{p}{q}, \\dfrac{r}{s}\\bigg)$, where these fractions are in lowest terms.  What is $p+q+r+s$?\n\n$\\textbf{(A)}\\ 54\\qquad\\textbf{(B)}\\ 58\\qquad\\textbf{(C)}\\ 62\\qquad\\textbf{(D)}\\ 70\\qquad\\textbf{(E)}\\ 75$", "description_html": "<p>Let points <span class=\"katex--inline\">A = (0, 0)</span>, <span class=\"katex--inline\">B = (1, 2)</span>, <span class=\"katex--inline\">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\">\\bigg(\\dfrac{p}{q}, \\dfrac{r}{s}\\bigg)</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;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2013 AMC 10A Problem 18", "can_next": true, "can_prev": true, "nxt": "/problem/13_amc10A_p19", "prev": "/problem/13_amc10A_p17"}}