Before Jack ever became famous for his beanstalk, he used to run errands for the local farmers. He had a reputation for being gullible but honest. One day they sent him to market with $100 to buy animals for stock. They gave him a list of cows, pigs, chickens, and rabbits to buy. Unfortunately, he lost the list before he reached the market. With growing dismay Jack realized that he could remember almost nothing about the list. He knew he was to buy 100 animals with the $100, but how many of each? He had no idea.
He could think of only two other bits of information. The list had had more cows than pigs and more chickens than rabbits. The prices at the market were as follows:
Can you help Jack reconstruct the missing list and buy the animals he needs?