Sara is baking biscuits for a big 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's assume Sara made x batches of biscuits.

So, the total number of biscuits she made in x batches is 75x.
Her friend gave her an additional 60 biscuits.
Therefore, the total number of biscuits she ends up with is 75x + 60.
We know that the total number of biscuits she ends up with is 360.
So, we can write the equation 75x + 60 = 360.
Simplifying the equation, we have 75x = 360 - 60.
Combining like terms, we get 75x = 300.
To solve for x, we divide both sides of the equation by 75: x = 300/75 = <<300/75=4>>4.
Therefore, Sara made 4 batches of biscuits.