Chapter 2.5, Problem 8E

Chemistry In a chemistry experiment, a test tube contains $10,000$ molecules of a compound. Initially, $20\%$ of the molecules are in a gas state, $60\%$ are in a liquid state, and $20\%$ are in solid state. After introducing a catalyst, $40\%$ of gas molecules change to liquid, $30\%$ of the liquid molecules changes to solid, and $50\%$ of the solid molecules change to liquid. How many molecules are in each state after introducing the catalyst?