Cash for Cats

Samantha and Tabitha sell an unusual toy - a robot that acts like a cat when placed within 3 feet of a computer. These bionic kittens, popular with computer addicts who don't have time to care for real cats, cost $100 each.

Samantha is paid a flat commission of 10% for every bionic kitten she sells. Tabitha is paid a floating commission. For the first 10 sales of the month, she earns 1% of the sales price. For the second 10 sales of the month, she earns 2% of the sales price, and so forth.

Samantha and Tabitha sold the same number of bionic kittens last month, and also made exactly the same amount. How many did each sell?

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