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

Guest Aug 19, 2023

#1**+1 **

*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?*

Call "n" the number of cookies they each had left over.

72 – x = n (1)

36 – x/2 = n (2)

Subtract (2) from (1) 36 – x/2 = 0

x/2 = 36

x = 72

So **Jessica sold 72 cookies**

Max sold 36 cookies

and neither had any cookies left over (i.e., n = 0).

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Bosco Aug 20, 2023

#4**0 **

Normally, I wouldn't bother with an unsubstantiated claim like this,

but there isn't anything good on television right now, so why not.

The problem gives four answers to choose from.

Let's try all of them.

72 – 18 = 54 36 – 9 = 27 Same number left over? No.

72 – 36 = 36 36 – 18 = 18 Same number left over? No.

72 – 24 = 48 38 – 12 = 26 Same number left over? No.

72 – 72 = 0 36 – 36 = 0 Same number left over? Yes

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Bosco
Aug 20, 2023

#9**+1 **

@IQantCorrectAnser Indeed, there might be something wrong with the question, but there's nothing wrong with my answer to the problem stated in this thread. Maybe the problem on the Staar test says something different and the OP copied it incorrectly. OP means Original Poster.

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Bosco
Aug 20, 2023

#10**+1 **

I am not familiar with the staar exam, but my review of Bosco's answer is that Bosco got the question right given his or her interpretation of this word problem. You all are claiming that A. 18 is the right answer without any explanation.

The3Mathketeers
Aug 21, 2023

#3**0 **

Jessica sold 72 - 36 = 36 cookies. Since Max only baked 36 cookies, they must have sold the same number of cookies, so Jessica sold 18 cookies. The answer is A. 18.

Such a hard word problem.

bharrison8627 Aug 20, 2023

#5**0 **

They didn't sell the same number of cookies.

The problem says Max sold half as many as Jessica.

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Bosco
Aug 20, 2023

#11**+1 **

This answer makes no sense. Your first sentence claims that Jessica sold 36 cookies and then you conclude somehow that Jessica sold 18 cookies. That is a major contradiction.

The3Mathketeers
Aug 21, 2023

#13**+1 **

Start with your variable, x. Now begin writing an equation. We start with 72 - since Jessica baked that amount. After she sold x cookies, she had some amount left (so, we have 72 - x =), which is supposedly equal to the amount Max had left, thus the same things go for Max, so we have 72 - x = 36 - x/2.

Adding x to both sides, we get 72 = 36 + x/2, and subtracting 36 from both sides we get 36 = x/2. Multiplying by two we get 72 = x. Thus, the answer is D. 72. And Bosco is correct.

Guest Aug 22, 2023