The carousel at the fair has 3 blue horses, three times that many purple horses, twice as many green horses as purple horses, and 1/6th as many gold horses as green horses. How many horses are there total? Give me reasons, before answering the question
First find how many purple horses there are: 3 blue horses * 3 purple / 1 blue = 9 purple horses. Then double that number to find how many green horses there are: 9 purple horses * 2 green / 1 purple = 18 green horses. Then divide the number of green horses by 6 to find the number of gold horses: 18 green horses / 6 green / 1 gold = 3 gold horses. Then add the number of horses of each color to find the total number of horses: 9 horses + 18 horses + 3 horses + 3 horses = 33 horses. So the final answer is 33.