The+Farmer+in+The+Dilemma

The Farmer in the Dilemma - posted January 26, 2009
One day many years ago, while Farmer Mead was plowing her fields, she came upon an old bottle in the dirt. As she picked it up and and began to brush the dirt off, out came the Math Genie. He offered a crisp new $100 bill to Farmer Mead, as long as she promised to spend the entire $100, and no more, to purchase exactly 100 farm animals. She was to buy at least one cow, one sheep and one horse. When she arrived at the market, she discovered that sheep cost $0.50 each, horses cost $10.00 each and cows cost $1.00 each. “Wow,” she thought, “this is going to be harder than I thought.” Can you help the farmer solve her dilemma? Find a way for Farmer Mead to spend the $100. Be sure to explain how you solved the problem and how you know your solution is correct.
 * Extra:** Find all the possible ways Farmer Mead could spend the $100 and satisfy the Genie's requirements. Explain how you know you have found them all.

Solution : 81 cows 1 horse 18 sheep. One day a farmer found 100 dollars in a bottle. He said he would spend all the 100$ on 100 animals. He had to buy at least one of each animal. One sheep is $0.50. One horse is 10$. Also one Cow is 1$. First we tried to do 30 sheep, 1 horse, and 70 cow’s but that was 101 animals and it was 95$. So we tried more cows. Then we tried less sheep. And we left the horse alone. Since one sheep is $0.50, we bought 18 of them, that would cost the total of 9$ for the sheep. Since 1 horse is 10$ and the passage stated that you had to buy at least 1 of each animal we bought 1 horse. Then the cows are 1$, so we bought 81 cows and that equals $81. 81 + 1 +18 = 100 animals. 81$ + 9$ +10$ = 100$.  By Brandon Hankinson and Michael Goodman