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Augustus’ Candy

Augustus loves candy and much to his delight, his three favorites are on sale. One each of gum, chocolate and caramel cost 40 cents. A caramel is over three times the price of gum. Six gums are worth more than chocolate. A caramel plus two gums cost less than chocolate. What is the price of each candy?

Gum = 4 cents
Chocolate = 23 cents
Caramel = 13 cents

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