Diary is baking biscuits for a bake sale, each batch makes 75 biscuits and her friends

Gives her another 60 biscuits, she ends up with 360 biscuits total for the bake sale. Use algebra ti solve for how many batches she made.

Let's assume the number of batches Diary made is "b".

Since each batch makes 75 biscuits, the total number of biscuits from the batches is 75b.
Her friends gave her another 60 biscuits, so the total number of biscuits she has is 75b + 60.
According to the problem, she ends up with 360 biscuits, so we can write the equation 75b + 60 = 360.
To solve for "b", we need to isolate the variable on one side of the equation.
Subtracting 60 from both sides gives us 75b = 300.
Finally, dividing both sides of the equation by 75 yields b = 4.
Therefore, Diary made 4 batches of biscuits for the bake sale.