Siara 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.(1 point)/////////

1 answer

Let \( x \) represent the number of batches Siara made. Each batch makes 75 biscuits, so the total number of biscuits from the batches is \( 75x \).

According to the problem, her friend gave her an additional 60 biscuits, and the total number of biscuits she ends up with is 360.

We can set up the equation:

\[ 75x + 60 = 360 \]

Now, we will solve for \( x \).

First, subtract 60 from both sides of the equation:

\[ 75x = 360 - 60 \]

\[ 75x = 300 \]

Next, divide both sides by 75:

\[ x = \frac{300}{75} \]

\[ x = 4 \]

Therefore, Siara made 4 batches of biscuits.