{"status": "success", "data": {"description_md": "A data set consists of $6$ (not distinct) positive integers: $1$, $7$, $5$, $2$, $5$, and $X$. The average (arithmetic mean) of the $6$ numbers equals a value in the data set. What is the sum of all possible values of $X$?\n\n$\\textbf{(A) } 10 \\qquad \\textbf{(B) } 26 \\qquad \\textbf{(C) } 32 \\qquad \\textbf{(D) } 36 \\qquad \\textbf{(E) } 40$", "description_html": "<p>A data set consists of  <span class=\"katex--inline\">6</span>  (not distinct) positive integers:  <span class=\"katex--inline\">1</span> ,  <span class=\"katex--inline\">7</span> ,  <span class=\"katex--inline\">5</span> ,  <span class=\"katex--inline\">2</span> ,  <span class=\"katex--inline\">5</span> , and  <span class=\"katex--inline\">X</span> . The average (arithmetic mean) of the  <span class=\"katex--inline\">6</span>  numbers equals a value in the data set. What is the sum of all possible values of  <span class=\"katex--inline\">X</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } 10 \\qquad \\textbf{(B) } 26 \\qquad \\textbf{(C) } 32 \\qquad \\textbf{(D) } 36 \\qquad \\textbf{(E) } 40</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": "2022 AMC 10A Problem 8", "can_next": true, "can_prev": true, "nxt": "/problem/22_amc10A_p09", "prev": "/problem/22_amc10A_p07"}}