A company produces candy bags that each hold about cubic inches of candy. Each bag is filled with any mixture of lollipop candies and gummy bear candies. When a bag contains only lollipop candies, then it has about candies. When a bag contains only gummy bear candies, then it has about candies. Given any candy bag produced by this company, which of the following equations could relate the approximate number of lollipop candies, , in the bag and the approximate number of gummy bear candies, , in the bag?
Question
A company produces candy bags that each hold about cubic inches of candy. Each bag is filled with any mixture of lollipop candies and gummy bear candies. When a bag contains only lollipop candies, then it has about candies. When a bag contains only gummy bear candies, then it has about candies. Given any candy bag produced by this company, which of the following equations could relate the approximate number of lollipop candies, , in the bag and the approximate number of gummy bear candies, , in the bag?
Solution
It seems like there's some information missing from your question. Specifically, we need to know the volume of the candy bag in cubic inches, the number of lollipop candies that fit in a bag, and the number of gummy bear candies that fit in a bag.
However, assuming that the volume of the bag is V cubic inches, the number of lollipop candies that fit in a bag is L, and the number of gummy bear candies that fit in a bag is G, we can set up the following equation:
(L * volume of one lollipop candy) + (G * volume of one gummy bear candy) = V
This equation states that the total volume of the lollipop candies plus the total volume of the gummy bear candies equals the total volume of the bag.
Please provide the missing information so I can give a more accurate answer.
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