Heather's age is 3 years more than one half her cousin Rachel's age. If the difference in their ages is less than 4 years, what is the oldest that Rachel can be in years?

The A-One Shoe Store has in its inventory three times more pairs of sneakers than it has pairs of boots, and at least ten more pairs of sandals than it has pairs of boots. If there are 28 pairs of sandals in the inventory, what is the greatest possible number of pairs of sneakers in the inventory?

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