{"status": "success", "data": {"description_md": "Two farmers agree that pigs are worth $300$ dollars and that goats are worth $210$ dollars. When one farmer owes the other money, he pays the debt in pigs or goats, with \"change\" received in the form of goats or pigs as necessary. (For example, a $390$ dollar debt could be paid with two pigs, with one goat received in change.) What is the amount of the smallest positive debt that can be resolved in this way?\n\n$\\mathrm{(A) \\ }5 \\qquad \\mathrm{(B) \\ } 10 \\qquad \\mathrm{(C) \\ } 30 \\qquad \\mathrm{(D) \\ } 90 \\qquad \\mathrm{(E) \\ }  210$\n___\nFull 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>Two farmers agree that pigs are worth <span class=\"katex--inline\">300</span> dollars and that goats are worth <span class=\"katex--inline\">210</span> dollars. When one farmer owes the other money, he pays the debt in pigs or goats, with &#8220;change&#8221; received in the form of goats or pigs as necessary. (For example, a <span class=\"katex--inline\">390</span> dollar debt could be paid with two pigs, with one goat received in change.) What is the amount of the smallest positive debt that can be resolved in this way?</p>&#10;<p><span class=\"katex--inline\">\\mathrm{(A) \\ }5 \\qquad \\mathrm{(B) \\ } 10 \\qquad \\mathrm{(C) \\ } 30 \\qquad \\mathrm{(D) \\ } 90 \\qquad \\mathrm{(E) \\ }  210</span></p>&#10;<hr/>&#10;<p>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>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2006 AMC 12A Problem 14", "can_next": true, "can_prev": true, "nxt": "/problem/06_amc12A_p15", "prev": "/problem/06_amc12A_p13"}}