At their family's pizzeria, Jake and Alyssa were folding pizza boxes to get ready for the day.

Question

Jake can fold 8 boxes per minute and has already folded 10 boxes.

Alyssa can fold 6 boxes per minute and has already folded 20 boxes.

Which system of equations represents the number of boxes, b, that Jake and Alyssa will fold based on the minutes worked, m?

A. 

b=10m+8b=20m+6

B. 

b=8m+10b=6m+20

C. 

m=10b+8m=20b+6

D. 

m=8b+10m=6b+20

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Answer 1

To determine the correct system of equations representing the number of boxes, \( b \), that Jake and Alyssa will fold based on the minutes worked, \( m \), we need to analyze the information given:

1. Jake's folding rate:

   • Jake can fold 8 boxes per minute.
   • He has already folded 10 boxes.
   • Therefore, the equation for Jake would be: \[ b = 8m + 10 \]

2. Alyssa's folding rate:

   • Alyssa can fold 6 boxes per minute.
   • She has already folded 20 boxes.
   • Therefore, the equation for Alyssa would be: \[ b = 6m + 20 \]

Now we can combine these equations to form the system:

\[ \begin{align*} b &= 8m + 10 \ b &= 6m + 20 \end{align*} \]

Looking at the given answer choices, the correct representation for the number of boxes folded (with respect to time) is:

B.

\[ b = 8m + 10 \quad b = 6m + 20 \]

Thus, the answer is B.