Sarah is baking cookies for a bake sale. She has a recipe that requires \( \frac{3}{4} \) cup of sugar and \( \frac{1}{2} \) cup of butter for each batch. If she wants to bake 6 batches, how many cups of sugar and butter will she need in total? After baking, she realizes she has used 1 cup of sugar and \( \frac{1}{4} \) cup of butter more than the recipe required. How much sugar and butter did she actually use? Let's think step by step and output the final answer within \boxed{}.
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