Sammie took [tex]$\$[/tex]25[tex]$ out of her checking account. After taking the money out of her account, she had $[/tex]\[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]\(c \times 25 = 100\)[/tex]

B. [tex]\(c \div 25 = 100\)[/tex]

C. [tex]\(c + 25 = 100\)[/tex]

D. [tex]\(c - 25 = 100\)[/tex]



Answer :

To determine the amount of money Sammie had in her account initially, let's denote that initial amount by [tex]\( c \)[/tex].

Given:
- After withdrawing \[tex]$25, Sammie had \$[/tex]100 remaining.

This situation can be expressed with an equation. Since Sammie took \[tex]$25 out of her account, the operation performed on her initial amount \( c \) was subtraction: \[ c - 25 \] According to the problem, after performing this subtraction, she was left with \$[/tex]100:
[tex]\[ c - 25 = 100 \][/tex]

Thus, the equation that represents this scenario is:
[tex]\[ c - 25 = 100 \][/tex]

To find [tex]\( c \)[/tex], we add 25 to both sides of the equation:
[tex]\[ c - 25 + 25 = 100 + 25 \][/tex]

This simplifies to:
[tex]\[ c = 125 \][/tex]

Therefore, the correct equation that can be used to find the amount [tex]\( c \)[/tex], which Sammie had in her account before she took the money out, is:
[tex]\[ c - 25 = 100 \][/tex]