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

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



Answer :

To determine the correct equation that can be used to find the initial amount of money [tex]\(c\)[/tex] that Sammie had in her account before she took out [tex]$25, we need to follow these steps: 1. Understand the problem statement: - Sammie had some amount of money in her checking account initially, which we will call \(c\). - She then took out $[/tex]25 from her checking account.
- After she took out the money, she had [tex]$100 remaining in her account. 2. Determine the equation: - This means if you start with \(c\) dollars and subtract $[/tex]25 from it, you should be left with [tex]$100. - Mathematically, this can be represented by the equation: \[ c - 25 = 100 \] 3. Solve for \(c\): - To find the initial amount \(c\), we need to isolate \(c\) on one side of the equation. Start by adding $[/tex]25 to both sides of the equation:
[tex]\[ c - 25 + 25 = 100 + 25 \][/tex]
Simplifying this, we get:
[tex]\[ c = 125 \][/tex]

Therefore, the equation that can be used to find the initial amount [tex]\(c\)[/tex] Sammie had in her account is:
[tex]\[ c - 25 = 100 \][/tex]