Amelia baked some cookies. She was able to give five cookies each to 8 friends without having any cookies leftover. How could you set out this problem as an algebraic equation to find out how many cookies are merely have baked in total?

c-5=8
c+8=5
c divided by 8=5
c times 8 =5

The correct algebraic equation to find out how many cookies Amelia baked in total would be:

c = 5 * 8

where "c" represents the total number of cookies baked.

To set out this problem as an algebraic equation, you need to define the unknown variable. Let's say the unknown variable represents the total number of cookies Amelia baked.

Let's use the variable "c" to represent the total number of cookies. Since Amelia gave five cookies each to eight friends, she gave away 5 x 8 = 40 cookies in total.

In order for Amelia to have given away all the cookies without having any leftovers, the equation can be set up as:
c - 40 = 0

Simplifying the equation, we have:
c = 40

So, Amelia would have baked a total of 40 cookies.

Let's let "c" represent the total number of cookies Amelia baked.

Each friend received 5 cookies, and she gave these cookies to 8 friends. Therefore, the total number of cookies given to friends is 5 multiplied by 8, which is 40 cookies.

Since Amelia gave all the cookies she baked to her friends without any leftovers, the total number of cookies baked (c) is equal to the cookies given to friends, which is 40.

So, the algebraic equation to represent this problem is: c = 40.