In a candy store, there are three types of candies: lollipops, chocolates, and gummy bears. Every customer can choose any combination of these three types of candies. If a customer buys 2 lollipops, 3 chocolates, and 4 gummy bears, they spend $24. If another customer buys 1 lollipop, 5 chocolates, and 2 gummy bears, they spend $20. Finally, if a third customer buys 3 lollipops, 2 chocolates, and 6 gummy bears, they spend $28. What is the price of each type of candy? Let's think step by step and output the final answer within \boxed{}.
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