{"status": "success", "data": {"description_md": "The table below displays some of the results of last summer's Frostbite Falls Fishing Festival, showing how many contestants caught $n$ fish for various values of $n$.<br><br>\n$$ \\begin{array}{|c|c|c|c|c|c|c|c|c|} \\hline n & 0 & 1 & 2 & 3 & \\ldots & 13 & 14 & 15 \\\\ \\hline \\text{number of contestants who caught} \\ n \\ \\text{fish} & 9 & 5 & 7 & 23 & \\ldots & 5 & 2 & 1 \\\\ \\hline \\end{array} $$ In the newspaper story covering the event, it was reported that<br>(a) the winner caught 15 fish;<br>(b) those who caught 3 or more fish averaged 6 fish each;<br>(c) those who caught 12 or fewer fish averaged 5 fish each.<br><br>What was the total number of fish caught during the festival?\n___\nLeading zeroes must be inputted, so if your answer is `34`, then input `034`. Full 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>The table below displays some of the results of last summer&#8217;s Frostbite Falls Fishing Festival, showing how many contestants caught <span class=\"katex--inline\">n</span> fish for various values of <span class=\"katex--inline\">n</span>.<br/><br/><span class=\"katex--display\"> \\begin{array}{|c|c|c|c|c|c|c|c|c|} \\hline n &amp; 0 &amp; 1 &amp; 2 &amp; 3 &amp; \\ldots &amp; 13 &amp; 14 &amp; 15 \\\\ \\hline \\text{number of contestants who caught} \\ n \\ \\text{fish} &amp; 9 &amp; 5 &amp; 7 &amp; 23 &amp; \\ldots &amp; 5 &amp; 2 &amp; 1 \\\\ \\hline \\end{array} </span><br/><br/>In the newspaper story covering the event, it was reported that<br/>(a) the winner caught 15 fish;<br/>(b) those who caught 3 or more fish averaged 6 fish each;<br/>&#169; those who caught 12 or fewer fish averaged 5 fish each.<br/><br/>What was the total number of fish caught during the festival?</p>&#10;<hr><p>Leading zeroes must be inputted, so if your answer is <code>34</code>, then input <code>034</code>. 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": "1993 AIME Problem 3", "can_next": true, "can_prev": true, "nxt": "/problem/93_aime_p04", "prev": "/problem/93_aime_p02"}}