{"status": "success", "data": {"description_md": "Daphne is visited periodically by her three best friends: Alice, Beatrix, and Claire.  Alice visits every third day, Beatrix visits every fourth day, and Claire visits every fifth day.  All three friends visited Daphne yesterday.  How many days of the next 365-day period will exactly two friends visit her?\n\n$\\textbf{(A)}\\ 48\\qquad\\textbf{(B)}\\ 54\\qquad\\textbf{(C)}\\ 60\\qquad\\textbf{(D)}\\ 66\\qquad\\textbf{(E)}\\ 72$", "description_html": "<p>Daphne is visited periodically by her three best friends: Alice, Beatrix, and Claire.  Alice visits every third day, Beatrix visits every fourth day, and Claire visits every fifth day.  All three friends visited Daphne yesterday.  How many days of the next 365-day period will exactly two friends visit her?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 48\\qquad\\textbf{(B)}\\ 54\\qquad\\textbf{(C)}\\ 60\\qquad\\textbf{(D)}\\ 66\\qquad\\textbf{(E)}\\ 72</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": 3, "problem_name": "2013 AMC 10A Problem 17", "can_next": true, "can_prev": true, "nxt": "/problem/13_amc10A_p18", "prev": "/problem/13_amc10A_p16"}}