{"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 granddaughters have no daughters?\n\n$\\mathrm{(A) \\ } 22 \\qquad \\mathrm{(B) \\ } 23 \\qquad \\mathrm{(C) \\ } 24 \\qquad \\mathrm{(D) \\ } 25 \\qquad \\mathrm{(E) \\ } 26$", "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 granddaughters have no daughters?</p>&#10;<p><span class=\"katex--inline\">\\mathrm{(A) \\ } 22 \\qquad \\mathrm{(B) \\ } 23 \\qquad \\mathrm{(C) \\ } 24 \\qquad \\mathrm{(D) \\ } 25 \\qquad \\mathrm{(E) \\ } 26</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 1, "problem_name": "2004 AMC 10A Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/04_amc10A_p07", "prev": "/problem/04_amc10A_p05"}}