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

Answer :

To find out how much Sammie had in her checking account before she took out \[tex]$25, let's define the amount Sammie had initially as \( c \).

We know two pieces of information:
1. Sammie took out \$[/tex]25 from her checking account.
2. After taking out the \[tex]$25, she had \$[/tex]100 remaining.

We can set up an equation based on these pieces of information.

1. She started with [tex]\( c \)[/tex] dollars.
2. She withdrew \[tex]$25, so we subtract 25 from \( c \).
3. What she has left after the withdrawal is \$[/tex]100.

The equation that represents this situation is:
[tex]\[ c - 25 = 100 \][/tex]

Now, to solve for [tex]\( c \)[/tex]:

1. Add 25 to both sides of the equation:
[tex]\[ c - 25 + 25 = 100 + 25 \][/tex]

2. Simplify by combining like terms:
[tex]\[ c = 125 \][/tex]

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

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

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