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Let's assume that Siara made "x" number of batches.
Each batch makes 75 biscuits, so the total number of biscuits from "x" batches is 75x.
Her friend gave her another 60 biscuits, so the total number of biscuits is 75x + 60.
According to the problem, the total number of biscuits for the bake sale is 360, so we can set up the equation:
75x + 60 = 360.
Now, let's solve for x:
75x = 360 - 60,
75x = 300,
x = 300/75,
x = 4.
Therefore, Siara made 4 batches of biscuits.