{"status": "success", "data": {"description_md": "The average (mean) of $20$ numbers is $30$, and the average of $30$ other numbers is $20$. What is the average of all $50$ numbers?\n\n$\\mathrm{(A) \\ } 23\\qquad \\mathrm{(B) \\ } 24\\qquad \\mathrm{(C) \\ } 25\\qquad \\mathrm{(D) \\ } 26\\qquad \\mathrm{(E) \\ } 27$", "description_html": "<p>The average (mean) of  <span class=\"katex--inline\">20</span>  numbers is  <span class=\"katex--inline\">30</span> , and the average of  <span class=\"katex--inline\">30</span>  other numbers is  <span class=\"katex--inline\">20</span> . What is the average of all  <span class=\"katex--inline\">50</span>  numbers?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A) \\ } 23\\qquad \\mathrm{(B) \\ } 24\\qquad \\mathrm{(C) \\ } 25\\qquad \\mathrm{(D) \\ } 26\\qquad \\mathrm{(E) \\ } 27</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": "2005 AMC 10A Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/05_amc10A_p07", "prev": "/problem/05_amc10A_p05"}}