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Egret buys 2 containers of orange candies, 4 containers of green candies and 5 containers of purple candies that are 35 orange candies in a container and 15 candies in a container. There are as many purple candies as orange and green candies combine. All of the candies are combined together and distribute it among 65 party bags, how many candies are in each party bag.

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Final answer:

To find the number of candies in each party bag, we need to determine the total number of candies and then divide it by the number of bags. The total number of candies is obtained by adding the number of orange, green, and purple candies. Finally, the number of candies in each party bag is found by dividing the total number of candies by the number of bags.

Step-by-step explanation:

To find the number of candies in each party bag, we need to first calculate the total number of candies. Egret buys 2 containers of orange candies, 4 containers of green candies, and 5 containers of purple candies. Since there are 35 orange candies in each container and 15 candies in each green container, the total number of orange candies is 2 containers * 35 candies/container = 70 candies and the total number of green candies is 4 containers * 15 candies/container = 60 candies. Additionally, the number of purple candies is equal to the combined number of orange and green candies, which is 70 candies + 60 candies = 130 candies.

To find the total number of candies, we add up the number of orange, green, and purple candies: 70 candies + 60 candies + 130 candies = 260 candies.

Next, we can distribute the candies among the 65 party bags. To find the number of candies in each bag, we divide the total number of candies by the number of bags: 260 candies ÷ 65 bags = 4 candies in each party bag. Therefore, each party bag will have 4 candies.

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