Difference between revisions of "2006 AMC 12A Problems/Problem 14"
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== Problem == | == Problem == | ||
| − | Two farmers agree that pigs are worth <math> | + | Two farmers agree that pigs are worth <math>300</math> dollars and that goats are worth <math>210</math> 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 <math>390</math> 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? |
<math> \mathrm{(A) \ } $5\qquad \mathrm{(B) \ } $10\qquad \mathrm{(C) \ } $30\qquad \mathrm{(D) \ } $90</math><math>\mathrm{(E) \ } $210</math> | <math> \mathrm{(A) \ } $5\qquad \mathrm{(B) \ } $10\qquad \mathrm{(C) \ } $30\qquad \mathrm{(D) \ } $90</math><math>\mathrm{(E) \ } $210</math> | ||
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== See also == | == See also == | ||
* [[2006 AMC 12A Problems]] | * [[2006 AMC 12A Problems]] | ||
| + | *[[2006 AMC 12A Problems/Problem 13|Previous Problem]] | ||
| + | *[[2006 AMC 12A Problems/Problem 15|Next Problem]] | ||
Revision as of 17:54, 5 November 2006
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)
