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Answer :
To solve this problem, we need to determine how much Sammie had in her checking account initially, before taking out [tex]$25. We have the following information:
- She took out $[/tex]25.
- After taking the money out, she had [tex]$100 remaining in her account.
To find the initial amount, \( c \), we set up the equation based on the information given:
1. Start with the total amount Sammie had initially, which we'll call \( c \).
2. Subtract the $[/tex]25 she took out from this initial amount.
3. After taking out [tex]$25, she had $[/tex]100 left.
This leads us to the equation:
[tex]\[ c - 25 = 100 \][/tex]
Now, we need to solve this equation to find the value of [tex]\( c \)[/tex]:
- To isolate [tex]\( c \)[/tex], add 25 to both sides of the equation:
[tex]\[ c - 25 + 25 = 100 + 25 \][/tex]
- Simplifying both sides gives:
[tex]\[ c = 125 \][/tex]
Thus, Sammie initially had [tex]$125 in her checking account before she took out the $[/tex]25. This matches the correct equation choice [tex]\( c - 25 = 100 \)[/tex].
- She took out $[/tex]25.
- After taking the money out, she had [tex]$100 remaining in her account.
To find the initial amount, \( c \), we set up the equation based on the information given:
1. Start with the total amount Sammie had initially, which we'll call \( c \).
2. Subtract the $[/tex]25 she took out from this initial amount.
3. After taking out [tex]$25, she had $[/tex]100 left.
This leads us to the equation:
[tex]\[ c - 25 = 100 \][/tex]
Now, we need to solve this equation to find the value of [tex]\( c \)[/tex]:
- To isolate [tex]\( c \)[/tex], add 25 to both sides of the equation:
[tex]\[ c - 25 + 25 = 100 + 25 \][/tex]
- Simplifying both sides gives:
[tex]\[ c = 125 \][/tex]
Thus, Sammie initially had [tex]$125 in her checking account before she took out the $[/tex]25. This matches the correct equation choice [tex]\( c - 25 = 100 \)[/tex].
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