The correct statement that interprets a part of the expression is:
Statement #1: Antoine spends $35.00 per pair of shoes.
This statement accurately reflects the coefficient of \(x\) in the expression \(35x + 55y\), where \(x\) represents the number of pairs of shoes and \(35\) is the cost per pair of shoes.
Statement #2 is incorrect because it suggests that Antoine spends $55.00 per pair of shoes, but $55 is the cost per jersey (\(y\)). Statement #3 is also incorrect because the expression does not indicate that Antoine spends a total of $35.00 for shoes; instead, it indicates the cost per pair of shoes.
So the answer is Statement #1.