2006 AMC 12A Problems/Problem 14

Problem

Two farmers agree that pigs are worth dollars and that goats are worth 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 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?

$\mathrm{(A) \ } $5\qquad \mathrm{(B) \ } $10\qquad \mathrm{(C) \ } $30\qquad \mathrm{(D) \ } $90$ (Error compiling LaTeX. Unknown error_msg)$\mathrm{(E) \ } $210$ (Error compiling LaTeX. Unknown error_msg)

See also

• 2006 AMC 12A Problems
• Previous Problem
• Next Problem