Sarah has a budget of $500 to spend on a new wardrobe. She finds a store offering a 15% discount on all items. She plans to buy a jacket originally priced at $120, a pair of jeans originally priced at $80, and a pair of shoes originally priced at $100. Will Sarah stay within her budget after applying the discount to each item? Let's think step by step and output the final answer within \boxed{}.
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