Amelia bake some cookies she was able to give five cookies to each eight friends without having any cookies left over how could you set up this problem as an algebraic equation and find out how many cookies Amelia Bates in total

Let x be the total number of cookies Amelia baked.

If she gives five cookies to each of her eight friends, she has given a total of 5 * 8 = <<5*8=40>>40 cookies.

Since she gave away all of her cookies, the equation would be x = 40.

Therefore, Amelia baked a total of 40 cookies.

To set up this problem as an algebraic equation, we can let "x" represent the total number of cookies that Amelia baked.

According to the given information, Amelia was able to give 5 cookies to each of her 8 friends without any cookies left over. This means that each friend received 5 cookies, resulting in a total of 8 friends * 5 cookies per friend = 40 cookies.

Now we can set up the equation: x = 40

To find out how many cookies Amelia baked in total, we solve for "x." By substituting the value of x, we can determine the answer. In this case, x is equal to 40, so Amelia baked a total of 40 cookies.

Let's set up the problem step by step:

Step 1: Let's assume that Amelia had a total of "x" cookies.

Step 2: Since Amelia gave 5 cookies to each of her 8 friends, the total number of cookies given away is 5 * 8 = 40 cookies.

Step 3: We know that Amelia didn't have any cookies left over, so the equation becomes: x - 40 = 0.

Step 4: To find out how many cookies Amelia baked in total, we solve the equation for x: x = 40.

Therefore, Amelia baked a total of 40 cookies.