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 \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 find the amount Sammie had in her account before she took the money out, we need to set up an equation based on the situation described.

1. Understand the problem: Sammie took [tex]$25 out, and then she had $[/tex]100 left in her account. We need to find out how much money she had initially.

2. Set up the equation: Before taking the money out, her account balance was some amount, which we will call [tex]\( c \)[/tex]. After taking out [tex]$25, the remaining balance is $[/tex]100. So, we can represent this situation with the equation:
[tex]\[
c - 25 = 100
\][/tex]

3. Solve for [tex]\( c \)[/tex]: To find the original amount [tex]\( c \)[/tex], we need to isolate [tex]\( c \)[/tex] on one side of the equation. We do this by adding [tex]$25 back to both sides:
\[
c - 25 + 25 = 100 + 25
\]

4. Simplify the equation: This simplifies to:
\[
c = 125
\]

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

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