High School

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Sammie took [tex]$25$[/tex] out of her checking account. After taking the money out, she had [tex]$100$[/tex] remaining. Which equation can be used to find the amount, [tex]c[/tex], Sammie had in her account before she took the money out?

A. [tex]c - 25 = 100[/tex]
B. [tex]c \times 25 = 100[/tex]
C. [tex]c + 25 = 100[/tex]
D. [tex]c \div 25 = 100[/tex]

Answer :

To find out how much Sammie had in her account before she withdrew [tex]$25, we need to set up an equation based on the problem information.

1. Understanding the Problem:
- Sammie had a certain amount in her account initially. We'll denote this amount as \( c \).
- She withdrew $[/tex]25, so the amount in her account decreased by [tex]$25.
- After the withdrawal, she had $[/tex]100 remaining in her account.

2. Setting up the Equation:
- The relationship between the initial amount [tex]\( c \)[/tex], the amount withdrawn, and the remaining amount can be expressed in the equation:
[tex]\[
c - 25 = 100
\][/tex]

3. Solving the Equation:
- We want to solve for [tex]\( c \)[/tex], the initial amount Sammie had. To do this, we need to isolate [tex]\( c \)[/tex] on one side of the equation.
- Start with the equation:
[tex]\[
c - 25 = 100
\][/tex]
- Add 25 to both sides to move the -25:
[tex]\[
c = 100 + 25
\][/tex]
- Calculate the right side:
[tex]\[
c = 125
\][/tex]

Therefore, Sammie had [tex]$125 in her account before she withdrew $[/tex]25.

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