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?
Let x be the number of cookies Amelia baked in total.
Since Amelia gave five cookies to each of her 8 friends, the total number of cookies given to her friends is 5 * 8 = <<5*8=40>>40.
Therefore, the equation that represents the situation is x = 40.
To set up an algebraic equation for this problem, let's assume that Amelia baked a total of "x" cookies.
We know that Amelia gave 5 cookies to each of her 8 friends, which means she gave out a total of 5 * 8 = 40 cookies.
Since Amelia gave away all the cookies she baked, this should equal the total number of cookies she baked, which is "x".
Therefore, the equation can be written as:
x = 40
This equation represents that the number of cookies baked, "x", is equal to 40. So, Amelia must have baked 40 cookies in total.
To set up an algebraic equation for this problem, let's assume the total number of cookies Amelia baked is represented by the variable 'x'.
Amelia gave 5 cookies each to 8 friends, so she gave away a total of 5 * 8 = 40 cookies.
Since she gave away all the cookies without having any leftovers, the remaining cookies would be 0.
Therefore, the equation to represent this situation would be:
x - 40 = 0
Simplifying the equation, we get:
x = 40
So, Amelia would have baked a total of 40 cookies.