{"status": "success", "data": {"description_md": "A bin contains 10 kg of peanuts. 2 kg of peanuts are removed and 2 kg of raisins are added and thoroughly mixed in. Then 2 kg of this mixture are removed and 2 kg of raisins are added and thoroughly mixed in again. What is the ratio of the mass of peanuts to the mass of raisins in the final mixture?\n\n$\\text{(A)}\\ 3:2\\qquad\\text{(B)}\\ 4:1\\qquad\\text{(C)}\\ 5:1\\qquad\\text{(D)}\\ 7:3\\qquad\\text{(E)}\\ 16:9$\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>A bin contains 10 kg of peanuts. 2 kg of peanuts are removed and 2 kg of raisins are added and thoroughly mixed in. Then 2 kg of this mixture are removed and 2 kg of raisins are added and thoroughly mixed in again. What is the ratio of the mass of peanuts to the mass of raisins in the final mixture?</p>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 3:2\\qquad\\text{(B)}\\ 4:1\\qquad\\text{(C)}\\ 5:1\\qquad\\text{(D)}\\ 7:3\\qquad\\text{(E)}\\ 16:9</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": 3, "problem_name": "2014 Fermat Problem 21", "can_next": true, "can_prev": true, "nxt": "/problem/14_fermat_p22", "prev": "/problem/14_fermat_p20"}}