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To calculate the total square footage of tiles needed, we first need to add the 15% overage to the 75 square feet required for the backsplash.
15% of 75 square feet is 0.15 x 75 = 11.25 square feet
Adding the overage to the required square footage gives us:
75 + 11.25 = 86.25 square feet
Therefore, the homeowner needs to purchase 86.25 square feet of tile.