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Mathematical Reasoning Puzzles

These puzzles require both logical and mathematical reasoning. Can you solve them?


A farmer went to his banker to borrow money to buy livestock. The banker made a deal with the farmer. He told the farmer that he would give him $100.00, and that the farmer would not have to pay back the money if he could buy exactly 100 head of livestock for exactly $100.00.

The only rule was that at least one of each kind of livestock -- cows, pigs, and sheep -- had to be purchased. Each cow cost $10. Each pig cost $3. And each sheep cost $0.50. How many of each kind of livestock did the farmer buy?