{"status": "success", "data": {"description_md": "When $15$ is appended to a list of integers, the mean is increased by $2$. When $1$ is appended to the enlarged list, the mean of the enlarged list is decreased by $1$. How many integers were in the original list?\n\n$\\mathrm{(A) \\ } 4\\qquad \\mathrm{(B) \\ } 5\\qquad \\mathrm{(C) \\ } 6\\qquad \\mathrm{(D) \\ } 7\\qquad \\mathrm{(E) \\ } 8$", "description_html": "<p>When  <span class=\"katex--inline\">15</span>  is appended to a list of integers, the mean is increased by  <span class=\"katex--inline\">2</span> . When  <span class=\"katex--inline\">1</span>  is appended to the enlarged list, the mean of the enlarged list is decreased by  <span class=\"katex--inline\">1</span> . How many integers were in the original list?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A) \\ } 4\\qquad \\mathrm{(B) \\ } 5\\qquad \\mathrm{(C) \\ } 6\\qquad \\mathrm{(D) \\ } 7\\qquad \\mathrm{(E) \\ } 8</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": 4, "problem_name": "2002 AMC 10B Problem 25", "can_next": false, "can_prev": true, "nxt": "", "prev": "/problem/02_amc10B_p24"}}