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Australian AMC 2008 - Middle Primary Question 24

AMC AUSTRALIA · Australian AMC 2008 - Middle Primary

Question 24

I have some animals, an equal number of goats and lions, which I wish to ferry across a river but my boat will allow me to take only one animal at a time. I cannot leave one goat on its own on either side nor can I leave 1 goat with 1 lion (but I can leave 2 or more goats with a lion or 2 or more lions with a goat). What is the smallest number of goats such that I can ferry the group across without breaking these restrictions?
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