{"status": "success", "data": {"description_md": "A single bench section at a school event can hold either $7$ adults or $11$ children. When $N$ bench sections are connected end to end, an equal number of adults and children seated together will occupy all the bench space. What is the least possible positive integer value of $N?$\n\n$\\textbf{(A) } 9 \\qquad \\textbf{(B) } 18 \\qquad \\textbf{(C) } 27 \\qquad \\textbf{(D) } 36 \\qquad \\textbf{(E) } 77$", "description_html": "<p>A single bench section at a school event can hold either  <span class=\"katex--inline\">7</span>  adults or  <span class=\"katex--inline\">11</span>  children. When  <span class=\"katex--inline\">N</span>  bench sections are connected end to end, an equal number of adults and children seated together will occupy all the bench space. What is the least possible positive integer value of  <span class=\"katex--inline\">N?</span> </p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } 9 \\qquad \\textbf{(B) } 18 \\qquad \\textbf{(C) } 27 \\qquad \\textbf{(D) } 36 \\qquad \\textbf{(E) } 77</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": "2020 AMC 10A Problem 9", "can_next": true, "can_prev": true, "nxt": "/problem/20_amc10A_p10", "prev": "/problem/20_amc10A_p08"}}