3 answers
Let's denote the total number of cookies Amelia baked as \( x \).
Since she gave 5 cookies to each of her 8 friends, the total number of cookies given away can be represented as \( 5 \times 8 \).
Thus, the equation to find out how many cookies she baked is:
\[ x = 5 \times 8 \]
Now, you can calculate:
\[ x = 40 \]
So, Amelia baked 40 cookies.
To reformulate the problem in terms of the variable \( c \) representing the total number of cookies, we need to establish a relationship based on the information provided.
Amelia gave away a total of \( 5 \) cookies to each of her \( 8 \) friends, which is calculated as \( 5 \times 8 = 40 \) cookies.
If we want to relate \( c \) to the total number of cookies she baked, we set up the equation based on how many cookies she distributed:
\[ c = 5 \times 8 \]
This can be expressed differently, but it looks like we should try to match it with one of your given options.
None of the provided options directly seem to represent the equation \( c = 40 \), but we can rewrite \( 40 \) using the form of one of the equations:
If we manipulate the first option (to gather how many cookies she has), we can say that if Amelia has cookies left after giving them away:
From \( c + 8 = 5 \): This implies she has \( c \) cookies and then adds 8 cookies to reach a total of 5, which isn't correct.
From \( 8c = 5 \): This implies 8 times the number of cookies she has equals 5, which also isn’t correct.
From \( c - 5 = 8 \): This would imply if she subtracts 5 from the number of cookies she has, she ends up with 8 cookies, which is incorrect as it doesn't represent the situation accurately.
From \( \frac{c}{8} = 5 \): This means if you divide the cookies she has by 8, you get 5, which correlates correctly as it matches the original idea of how many cookies each friend received.
So, the correct option that relates back to how cookies were distributed would be:
\[ \frac{c}{8} = 5 \]
To find \( c \), you would multiply both sides by 8:
\[ c = 40 \]
Thus, indeed, she baked 40 cookies.
