Tonight's final question:
A butcher goes to market. The market sells cows for $15 each, geese for $1 each, and chickens for 25 cents each. The butcher buys exactly 100 animals, and spends exactly $100. If he bought at least one cow, one goose, and one chicken, how many of each animal did he buy?
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2 comments:
3 cows
41 geese
56 chickens
Excellent!
For those wondering where that answer comes from:
We're looking for a combination that averages a dollar per animal. Since the geese actually are a dollar each, the key is figuring out how many cows and chickens he bought. If x is the number of cows and y the number of chickens, then
15x + 0.25y = x + y
which works out to
14x = 0.75y
or
56x = 3y
Which means there are 3 cows for every 56 chickens, and since the number of chickens is an integer between 1 and 100, these must be the exact numbers, leaving us with 41 geese.
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