{"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 <span class=\"katex--inline\">365</span>-day period will exactly two friends visit her?</p>&#10;<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>&#10;", "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"}}