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Answer :
To find out how much Sammie had in her checking account before she took out [tex]$25, we need to set up an equation based on the information given. We know that after taking out $[/tex]25, Sammie had [tex]$100 remaining.
We can represent the original amount of money in the account as \( c \). The situation where Sammie takes out $[/tex]25 can be written as:
1. Start with the initial amount [tex]\( c \)[/tex].
2. Subtract [tex]$25 (the amount Sammie took out).
This creates the equation:
\[ c - 25 = 100 \]
This equation states that if you start with the original amount \( c \) and subtract $[/tex]25, you are left with [tex]$100.
Now, to find the original amount \( c \), we need to solve the equation:
\[ c - 25 = 100 \]
To isolate \( c \), add $[/tex]25 to both sides of the equation:
[tex]\[ c - 25 + 25 = 100 + 25 \][/tex]
This simplifies to:
[tex]\[ c = 125 \][/tex]
Therefore, Sammie had [tex]$125 in her checking account before she took out the $[/tex]25. The correct equation to represent this situation is [tex]\( c - 25 = 100 \)[/tex].
We can represent the original amount of money in the account as \( c \). The situation where Sammie takes out $[/tex]25 can be written as:
1. Start with the initial amount [tex]\( c \)[/tex].
2. Subtract [tex]$25 (the amount Sammie took out).
This creates the equation:
\[ c - 25 = 100 \]
This equation states that if you start with the original amount \( c \) and subtract $[/tex]25, you are left with [tex]$100.
Now, to find the original amount \( c \), we need to solve the equation:
\[ c - 25 = 100 \]
To isolate \( c \), add $[/tex]25 to both sides of the equation:
[tex]\[ c - 25 + 25 = 100 + 25 \][/tex]
This simplifies to:
[tex]\[ c = 125 \][/tex]
Therefore, Sammie had [tex]$125 in her checking account before she took out the $[/tex]25. The correct equation to represent this situation is [tex]\( c - 25 = 100 \)[/tex].
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