Sara is baking biscuits for a bake sale. Each batch makes 75 biscuits, and her friend gives her another 60 biscuits. She ends up with 360 biscuits total for the bake sale. Use algebra to solve for how many batches she made

Let x be the number of batches she made.

The total number of biscuits she made from the batches is x * 75.
The total number of biscuits she made from her friend is 60.
The total number of biscuits she made is x * 75 + 60 = 360.
So, x * 75 + 60 = 360.
Subtracting 60 from both sides, we get x * 75 = 300.
Dividing both sides by 75, we get x = 300 / 75 = 4.
So, Sara made 4 batches of biscuits. Answer: \boxed{4}.