{"status": "success", "data": {"description_md": "Two farmers agree that pigs are worth &#36;$300$ and that goats are worth &#36;$210$. 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 &#36;$390$ 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$\\mathrm{(A)}\\ 5\\qquad\\mathrm{(B)}\\ 10\\qquad\\mathrm{(C)}\\ 30\\qquad\\mathrm{(D)}\\ 90\\qquad\\mathrm{(E)}\\ 210$", "description_html": "<p>Two farmers agree that pigs are worth $<span class=\"katex--inline\">300</span> and that goats are worth $<span class=\"katex--inline\">210</span>. 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> 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;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "2006 AMC 10A Problem 22", "can_next": true, "can_prev": true, "nxt": "/problem/06_amc10A_p23", "prev": "/problem/06_amc10A_p21"}}