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Sammie took [tex]\$ 25[/tex] out of her checking account. After taking the money out of her account, 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 - 25 = 100[/tex]
C. [tex]c \times 25 = 100[/tex]
D. [tex]c \div 25 = 100[/tex]

Answer :

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

1. Understand the situation: Sammie took $[/tex]25 out of her checking account and then had [tex]$100 remaining.

2. Define the variable: Let \( c \) be the amount Sammie had in her account before taking out the money.

3. Set up the equation: When Sammie took out $[/tex]25, she had [tex]$100 left. This can be expressed with the equation:

\[
c - 25 = 100
\]

This equation shows that after withdrawing $[/tex]25, the remaining balance is [tex]$100.

4. Solve the equation for \( c \):

To find the original amount \( c \), you need to reverse the operation of subtracting 25 by adding 25 to both sides of the equation:

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

Simplifying, you get:

\[
c = 125
\]

So, Sammie originally had $[/tex]125 in her account before she took out the $25.

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