Question

"In question 1, Fatima found that 2 crates of 100 boxes can be filled using the 3,258 cookies produced each day. Subtracting 2,400 from 3,258 leaves 858 cookies that still need to be packaged.

Fatima now uses base ten blocks and a rectangular array to find how many boxes of 12 can be filled with these 858 cookies.
Based on her calculations shown below, did Fatima perform the calculation correctly? Why or why not? Select ALL reasons that are true.
A) Yes, she made the right calculation by figuring out that only 6 groups of 10x12 can be pulled out of 858.
B) Yes, she made the right calculation by finding out that 858 cookies can be packed into 61 boxes and then she added the 61 additional boxes to the 200 boxes.
C) No, she made the wrong calculation because 7 groups of 10x12 can actually be pulled out of 858.
D) No, she made the wrong calculation because 6x10x12 does not equal 840.
E) No, she made the wrong calculation because she did not need to add the 200 boxes and 61 boxes at the end."

Answer 1

Fatima performed the first calculation correctly by determining the number of boxes that can be filled with the given number of cookies. However, she made mistakes in subsequent calculations by adding unnecessary boxes and calculating incorrectly.

Step-by-step explanation:

To determine if Fatima performed the calculation correctly, let's analyze her calculations step by step:

1. Fatima subtracted 2,400 from 3,258, which gave her 858 cookies still needing to be packaged. This step is correct.

2. Fatima used base ten blocks and a rectangular array to find how many boxes of 12 can be filled with the 858 cookies. She correctly recognized that 6 groups of 10x12 can be pulled out of 858, as 6 x 10 x 12 = 720. So, she can fill 720 cookies with boxes of 12.

However, her subsequent calculations are incorrect:

3. Fatima added 61 additional boxes to the 200 boxes. This step is incorrect because there is no indication given in the question that she should add these boxes. So, this step is not necessary.

Based on the analysis above, Fatima made a correct calculation in step 1 and step 2, but she made incorrect calculations in step 3. Therefore, the correct reasons are:

• Yes, she made the right calculation by figuring out that only 6 groups of 10x12 can be pulled out of 858.
• No, she made the wrong calculation because 6x10x12 does not equal 840.
• No, she made the wrong calculation because she did not need to add the 200 boxes and 61 boxes at the end.