Ciara is baking biscuits for a bake sale. Each batch makes 75 biscuits and her friends give her another 60 biscuits and she ends up with 360 biscuits total for the big sale use algebra to sell for how many batches she made.

Let's use algebra to solve the problem.

Let's say Ciara made 'x' batches of biscuits.

The number of biscuits she made in 'x' batches is 75x.

Her friends gave her another 60 biscuits.

So, the total number of biscuits she has is 75x + 60.

According to the problem, the total number of biscuits she has is 360.

Therefore, we have the equation 75x + 60 = 360.

By subtracting 60 from both sides of the equation, we get 75x = 300.

Finally, dividing both sides of the equation by 75, we find that x = 4.

Therefore, Ciara made 4 batches of biscuits.

To solve this problem using algebra, let's assign a variable to the unknown quantity we're trying to find.

Let's say the number of batches Ciara made is 'x'.

We know that each batch makes 75 biscuits, so the number of biscuits Ciara made from the batches alone is 75x.

In addition, her friends gave her another 60 biscuits, so the total number of biscuits from her friends is 60.

Finally, we know that the total number of biscuits for the bake sale is 360.

So, the equation representing this situation is:

75x + 60 = 360

To solve this equation, we can begin by subtracting 60 from both sides:

75x = 360 - 60

Simplifying:

75x = 300

Now, divide both sides of the equation by 75:

x = 300 รท 75

x = 4

Therefore, Ciara made 4 batches of biscuits for the bake sale.

Let's assume the number of batches Ciara made is "x".

In each batch, Ciara makes 75 biscuits. So in "x" batches, she would make a total of 75x biscuits.

Additionally, her friends gave her another 60 biscuits. So the total number of biscuits she has is 75x + 60.

According to the problem, she ends up with 360 biscuits in total. Thus, we can set up the equation:

75x + 60 = 360

To find the number of batches (x), we need to solve this equation.

Let's simplify the equation by subtracting 60 from both sides:

75x = 300

Now divide both sides by 75:

x = 300 / 75

Simplifying further:

x = 4

Therefore, Ciara made 4 batches of biscuits for the bake sale.