{"status": "success", "data": {"description_md": "The lines $x=\\frac{1}{4}y+a$ and $y=\\frac{1}{4}x+b$ intersect at the point $(1,2)$. What is $a+b$?\n\n$\\mathrm{(A) \\ } 0\\qquad \\mathrm{(B) \\ } \\frac{3}{4}\\qquad \\mathrm{(C) \\ } 1\\qquad \\mathrm{(D) \\ } 2\\qquad \\mathrm{(E) \\ } \\frac{9}{4}$", "description_html": "<p>The lines  <span class=\"katex--inline\">x=\\frac{1}{4}y+a</span>  and  <span class=\"katex--inline\">y=\\frac{1}{4}x+b</span>  intersect at the point  <span class=\"katex--inline\">(1,2)</span> . What is  <span class=\"katex--inline\">a+b</span> ?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A) \\ } 0\\qquad \\mathrm{(B) \\ } \\frac{3}{4}\\qquad \\mathrm{(C) \\ } 1\\qquad \\mathrm{(D) \\ } 2\\qquad \\mathrm{(E) \\ } \\frac{9}{4}</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": 3, "problem_name": "2006 AMC 10B Problem 12", "can_next": true, "can_prev": true, "nxt": "/problem/06_amc10B_p13", "prev": "/problem/06_amc10B_p11"}}