A barrel contains only mangoes, papayas, and pineapples. There are three mangoes for every two papayas. There are twice as many mangoes and papayas as there are pineapples. If one piece of fruit is to be drawn at random from the barrel, what is the probability that the piece drawn will be a mango? Show your calculations.
Let's call the number of pineapples P. Then, the number of mangoes and papayas are both 2P, and the total number of fruits is 5P. Since there are 2P mangoes and 5P total, the answer is 2P/5P or 2/5.
