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 - 25 = 100[/tex]

C. [tex]c \div 25 = 100[/tex]

D. [tex]c + 25 = 100[/tex]

Answer :

Sure! Let’s go through the solution step by step.

Sammie took [tex]$25 out of her checking account, and after taking the money out, she had $[/tex]100 remaining in her account. We need to find out how much money, represented as [tex]\( c \)[/tex], Sammie had before she withdrew the [tex]$25.

To set up the equation, we consider these points:

1. Sammie started with an unknown amount \( c \) in her account.
2. She withdrew $[/tex]25, which means we subtract [tex]$25 from the original amount \( c \).
3. After the withdrawal, $[/tex]100 remains in the account.

Now, we can write an equation based on this information:

[tex]\[ c - 25 = 100 \][/tex]

This equation shows that after subtracting [tex]$25 from the original amount \( c \), we are left with $[/tex]100 in the account. To solve for [tex]\( c \)[/tex], you simply add [tex]$25 to both sides to isolate \( c \):

\[
c - 25 + 25 = 100 + 25 \\
c = 125
\]

Thus, Sammie originally had $[/tex]125 in her account before she withdrew the $25. The correct equation from the options given is [tex]\( c - 25 = 100 \)[/tex].

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