{"status": "success", "data": {"description_md": "At the end of the year 2000, Steve had \\$100 and Wayne had \\$10\\,000. At the end of each following year, Steve had twice as much money as he did at the end of the previous year and Wayne had half as much money as he did at the end of the previous year. At the end of which year did Steve have more money than Wayne for the first time?\n\n$\\text{(A)}\\ 2002\\qquad\\text{(B)}\\ 2003\\qquad\\text{(C)}\\ 2004\\qquad\\text{(D)}\\ 2005\\qquad\\text{(E)}\\ 2006$\n\n___\n\n**[Fermat](https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf), by [CEMC](https://cemc.uwaterloo.ca/), is licensed under the [CC BY-NC 3.0 DEED](https://creativecommons.org/licenses/by-nc/3.0/). They are not affiliated with or endorse TopsOJ in any way.**\n", "description_html": "<p>At the end of the year 2000, Steve had \\$100 and Wayne had \\$10\\,000. At the end of each following year, Steve had twice as much money as he did at the end of the previous year and Wayne had half as much money as he did at the end of the previous year. At the end of which year did Steve have more money than Wayne for the first time?</p>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 2002\\qquad\\text{(B)}\\ 2003\\qquad\\text{(C)}\\ 2004\\qquad\\text{(D)}\\ 2005\\qquad\\text{(E)}\\ 2006</span></p>\n<hr>\n<p><strong><a href=\"https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf\">Fermat</a>, by <a href=\"https://cemc.uwaterloo.ca/\">CEMC</a>, is licensed under the <a href=\"https://creativecommons.org/licenses/by-nc/3.0/\">CC BY-NC 3.0 DEED</a>. They are not affiliated with or endorse TopsOJ in any way.</strong></p>\n", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 1, "problem_name": "2015 Fermat Problem 13", "can_next": true, "can_prev": true, "nxt": "/problem/15_fermat_p14", "prev": "/problem/15_fermat_p12"}}