6. Amelia baked some cookies. She was able to give 5 cookies each to 8 friends without having any cookies left over. How could you set up this problem as an algebraic equation to find out how many cookies Amelia baked in total?(1 point)Responses
Let x represent the total number of cookies Amelia baked. According to the problem, she was able to give 5 cookies each to 8 friends. This can be represented as 5 * 8 = 40 cookies. Since she gave all the cookies away without having any left over, the equation is:
x = 40
To set up this problem as an algebraic equation, we need to determine the total number of cookies Amelia baked.
Let's start by breaking down the problem information. Amelia was able to give 5 cookies each to 8 friends without having any cookies left over. This means that each friend received 5 cookies, and there were no cookies remaining after distributing them.
To find the total number of cookies, we can multiply the number of cookies each friend received (5) by the number of friends (8). So, the total number of cookies can be represented by the equation:
Total Number of Cookies = Number of Cookies Each Friend Received × Number of Friends
We can write this equation as:
C = 5 × 8
Here, "C" represents the total number of cookies. Now, let's solve the equation:
C = 5 × 8
C = 40
Therefore, Amelia baked a total of 40 cookies.
Let's first define the variable.
Let's say x represents the total number of cookies Amelia baked.
Now we can set up the equation.
The total number of cookies given to the friends can be found by multiplying the number of friends (8) by the number of cookies given to each friend (5):
8 * 5 = 40
According to the problem, this should be equal to the total number of cookies baked, which we represented as x:
40 = x
Therefore, the algebraic equation that represents this problem is x = 40.