{"status": "success", "data": {"description_md": "The $2007$ $\\text{AMC}$ $10$ will be scored by awarding $6$ points for each correct response, $0$ points for each incorrect response, and $1.5$ points for each problem left unanswered. After looking over the $25$ problems, Sarah has decided to attempt the first $22$ and leave only the last $3$ unanswered. How many of the first $22$ problems must she solve correctly in order to score at least $100$ points?\n\n$\\textbf{(A) } 13 \\qquad\\textbf{(B) } 14 \\qquad\\textbf{(C) } 15 \\qquad\\textbf{(D) } 16 \\qquad\\textbf{(E) } 17$", "description_html": "<p>The  <span class=\"katex--inline\">2007</span>   <span class=\"katex--inline\">\\text{AMC}</span>   <span class=\"katex--inline\">10</span>  will be scored by awarding  <span class=\"katex--inline\">6</span>  points for each correct response,  <span class=\"katex--inline\">0</span>  points for each incorrect response, and  <span class=\"katex--inline\">1.5</span>  points for each problem left unanswered. After looking over the  <span class=\"katex--inline\">25</span>  problems, Sarah has decided to attempt the first  <span class=\"katex--inline\">22</span>  and leave only the last  <span class=\"katex--inline\">3</span>  unanswered. How many of the first  <span class=\"katex--inline\">22</span>  problems must she solve correctly in order to score at least  <span class=\"katex--inline\">100</span>  points?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } 13 \\qquad\\textbf{(B) } 14 \\qquad\\textbf{(C) } 15 \\qquad\\textbf{(D) } 16 \\qquad\\textbf{(E) } 17</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": "2007 AMC 10B Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/07_amc10B_p07", "prev": "/problem/07_amc10B_p05"}}