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Answer :
To find the amount, [tex]\( c \)[/tex], that Sammie had in her account before she took out the money, let's review the information provided: Sammie took \[tex]$25 out of her checking account and afterward, she had \$[/tex]100 remaining.
To figure out how much she had before she took out the \[tex]$25, we can use the equation:
\[ c - 25 = 100 \]
Here's a step-by-step breakdown of how this equation works:
1. Identify what you're solving for: We want to find the initial amount of money, \( c \), that Sammie had in her account before withdrawing \$[/tex]25.
2. Setup the equation: The equation that fits this situation is [tex]\( c - 25 = 100 \)[/tex]. This represents taking \[tex]$25 out of Sammie's account (represented by "- 25") and leaving her with \$[/tex]100.
3. Solve for [tex]\( c \)[/tex]: Add 25 to both sides of the equation to isolate [tex]\( c \)[/tex]:
[tex]\[
c - 25 + 25 = 100 + 25
\][/tex]
Simplifying both sides, we get:
[tex]\[
c = 125
\][/tex]
4. Conclusion: Sammie initially had \[tex]$125 in her checking account before taking out the \$[/tex]25.
To figure out how much she had before she took out the \[tex]$25, we can use the equation:
\[ c - 25 = 100 \]
Here's a step-by-step breakdown of how this equation works:
1. Identify what you're solving for: We want to find the initial amount of money, \( c \), that Sammie had in her account before withdrawing \$[/tex]25.
2. Setup the equation: The equation that fits this situation is [tex]\( c - 25 = 100 \)[/tex]. This represents taking \[tex]$25 out of Sammie's account (represented by "- 25") and leaving her with \$[/tex]100.
3. Solve for [tex]\( c \)[/tex]: Add 25 to both sides of the equation to isolate [tex]\( c \)[/tex]:
[tex]\[
c - 25 + 25 = 100 + 25
\][/tex]
Simplifying both sides, we get:
[tex]\[
c = 125
\][/tex]
4. Conclusion: Sammie initially had \[tex]$125 in her checking account before taking out the \$[/tex]25.
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