math challenge

Weeks of April 20 - May 3, 1998

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?

See the solutions