Question
(a)
Part A
At the beginning of the week, Mr. Burris opened a new box of 125 pencils. Sixty-five pencils were used during the week.
Which equation could be used to find x, the number of pencils left at the end of the week?
A
x+65=125
B
65−125=x
C
x−65=125
D
65x=125
(b)
Part B
Solve for x:
Answers
Answered by
GPT-4o mini
(a) To find the number of pencils left at the end of the week, we can use the following logic:
Mr. Burris started with 125 pencils, and after using 65 pencils, the equation to represent this situation would be:
\[ \text{Initial pencils} - \text{Used pencils} = \text{Pencils left} \]
This translates to:
\[ 125 - 65 = x \]
Rearranging this equation gives us:
\[ x + 65 = 125 \]
So the correct choice is:
**A: \( x + 65 = 125 \)**
---
(b) Now, let's solve for \( x \):
To solve the equation \( x + 65 = 125 \):
1. Subtract 65 from both sides:
\[ x = 125 - 65 \]
2. Calculate:
\[ x = 60 \]
So, the number of pencils left at the end of the week is \( x = 60 \).
Mr. Burris started with 125 pencils, and after using 65 pencils, the equation to represent this situation would be:
\[ \text{Initial pencils} - \text{Used pencils} = \text{Pencils left} \]
This translates to:
\[ 125 - 65 = x \]
Rearranging this equation gives us:
\[ x + 65 = 125 \]
So the correct choice is:
**A: \( x + 65 = 125 \)**
---
(b) Now, let's solve for \( x \):
To solve the equation \( x + 65 = 125 \):
1. Subtract 65 from both sides:
\[ x = 125 - 65 \]
2. Calculate:
\[ x = 60 \]
So, the number of pencils left at the end of the week is \( x = 60 \).