Mr. vectadore is buying two new cowboy hats. all together the hats costs $75.12. the second hat costs twice as much as the first hat. what is the price of the most expensive hat? round to the nearest hundredth.

We use x to represent the price of the cheapest hat. Since the more expensive hat is twice the price of the cheaper one, we use 2x to represent it. Therefore x + 2x, or 3x, equals $75.12. Divide 75.12 by 3 to find x, which is 25.04. The more expensive hat is 2x, so we must multiply 25.04 by 2 to find the price of the more expensive hat. Therefore, the cost is $50.08.