{"status": "success", "data": {"description_md": "Angela and Barry share a piece of land. The ratio of the area of Angela's portion to the area of Barry's portion is $3 : 2$. They each grow corn and peas on their piece of land. The entire piece of land is covered by corn and peas in the ratio $7 : 3$. On Angela's portion of the land, the ratio of corn to peas is $4 : 1$. What is the ratio of corn to peas for Barry's portion?\n\n$\\text{(A)}\\ 11:9\\qquad\\text{(B)}\\ 2:3\\qquad\\text{(C)}\\ 3:2\\qquad\\text{(D)}\\ 3:7\\qquad\\text{(E)}\\ 1:4$\n\n___\n\n**[Cayley](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>Angela and Barry share a piece of land. The ratio of the area of Angela's portion to the area of Barry's portion is <span class=\"katex--inline\">3 : 2</span>. They each grow corn and peas on their piece of land. The entire piece of land is covered by corn and peas in the ratio <span class=\"katex--inline\">7 : 3</span>. On Angela's portion of the land, the ratio of corn to peas is <span class=\"katex--inline\">4 : 1</span>. What is the ratio of corn to peas for Barry's portion?</p>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 11:9\\qquad\\text{(B)}\\ 2:3\\qquad\\text{(C)}\\ 3:2\\qquad\\text{(D)}\\ 3:7\\qquad\\text{(E)}\\ 1:4</span></p>\n<hr>\n<p><strong><a href=\"https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf\">Cayley</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": "2009 Cayley Problem 23", "can_next": true, "can_prev": true, "nxt": "/problem/09_cayley_p24", "prev": "/problem/09_cayley_p22"}}