Amelia bake some cookies. She was about to get five cookies each to eight friends without having any cookies left over how could you set up this problem as an eye algebraic equation to find out how many cookies Amelia baked in total?
Let "x" represent the total number of cookies baked by Amelia. Since she wants to distribute 5 cookies to each of her 8 friends without having any leftovers, we can set up the equation:
8 * 5 = x
Simplifying,
40 = x
Therefore, Amelia baked a total of 40 cookies.
Let's assume that Amelia baked a total of "x" cookies. Each of her eight friends gets five cookies, so the total number of cookies given to her friends would be 8 multiplied by 5, which is 40 cookies.
Now, according to the problem, there are no leftover cookies, which means all the cookies she baked were given to her friends. So, we can set up the equation as follows:
x = 40
The algebraic equation for finding out the total number of cookies Amelia baked is x = 40.
To set up the problem as an algebraic equation, we need to determine the total number of cookies baked by Amelia and then check if we can divide them equally among her eight friends without any cookies left over. Let's represent the total number of cookies as 'x':
1. We know that Amelia baked x cookies.
2. She wants to distribute these cookies equally among eight friends.
3. Each friend should receive five cookies.
4. To distribute the cookies equally, the total number of cookies should be divisible by eight.
To set this up as an algebraic equation, we can use the following steps:
Step 1: Express the number of cookies each friend receives as 5.
Step 2: Express the total number of friends as 8.
Step 3: Express the total number of cookies baked by Amelia as 'x'.
Step 4: Set up an equation that ensures the total number of cookies can be divided equally among her friends, without any remainder.
The equation can be written as:
x = 5 * 8
Simplifying the equation:
x = 40
Therefore, Amelia baked a total of 40 cookies.