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If Eve makes 5 free throws for every 3 she misses, that means she makes 5/(5+3) = 5/8 of her free throws.
If Eve missed 36 free throws, that means she made 36/(1 - 5/8) = 36/(3/8) = 36*(8/3) = 96 free throws.
Therefore, Eve made 96 free throws.