Question

Jessica baked 72 cookies and sold x cookies. Max baked 36 cookies and sold half as many cookies as Jessica did. How many cookies did Jessica sell if they each had the same number of cookies left over?

A. 18

B. 36

C. 24

D. 72
Answer
Answer is a. 18
Answer
To find the answer, first calculate how many cookies Max sold. Max sold half as many cookies as Jessica did, so Max sold (72/2) = 36 cookies.

Then, subtract the number of cookies Max sold from the total number of cookies Jessica baked: 72 - 36 = 36.

Finally, divide the remaining number of cookies by 2 to determine the number of cookies Jessica sold: 36 / 2 = 18 cookies.
Answer
To find out how many cookies Jessica sold, we need to set up an equation based on the given information. Let's denote the number of cookies Jessica sold as "x".

We know that Jessica baked 72 cookies and sold x cookies. Therefore, she has 72 - x cookies left.

Max baked 36 cookies and sold half as many cookies as Jessica did. So, Max sold x/2 cookies and has 36 - (x/2) cookies left.

Since they each had the same number of cookies left over, we can set up the equation:

72 - x = 36 - (x/2)

To solve this equation, we can start by multiplying both sides by 2 to eliminate the fraction:

144 - 2x = 72 - x

Next, let's combine like terms by adding x to both sides:

144 - 2x + x = 72

Simplifying further:

144 - x = 72

Now, let's isolate x by subtracting 144 from both sides:

-x = -72

Finally, multiplying both sides by -1 gives us:

x = 72

Therefore, Jessica sold 72 cookies.

Answer: D. 72
Answer
So the answer is D. 72
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