{"status": "success", "data": {"description_md": "Bertha has $6$ daughters and no sons. Some of her daughters have $6$ daughters, and the rest have none. Bertha has a total of $30$ daughters and granddaughters, and no great-granddaughters. How many of Bertha's daughters and grand-daughters have no daughters? \n\n$\\text{(A) } 22 \\qquad \\text{(B) } 23 \\qquad \\text{(C) } 24 \\qquad \\text{(D) } 25 \\qquad \\text{(E) } 26$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>Bertha has  <span class=\"katex--inline\">6</span>  daughters and no sons. Some of her daughters have  <span class=\"katex--inline\">6</span>  daughters, and the rest have none. Bertha has a total of  <span class=\"katex--inline\">30</span>  daughters and granddaughters, and no great-granddaughters. How many of Bertha&#8217;s daughters and grand-daughters have no daughters?</p>&#10;<p> <span class=\"katex--inline\">\\text{(A) } 22 \\qquad \\text{(B) } 23 \\qquad \\text{(C) } 24 \\qquad \\text{(D) } 25 \\qquad \\text{(E) } 26</span> </p>&#10;<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": 2, "problem_name": "2004 AMC 12A Problem 4", "can_next": true, "can_prev": true, "nxt": "/problem/04_amc12A_p05", "prev": "/problem/04_amc12A_p03"}}