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Answer :
To solve the problem of finding out how much money Sammie had in her checking account before she took out [tex]$25, we need to set up an equation that represents the situation:
1. Sammie took $[/tex]25 out, and after this, she had [tex]$100 remaining in the account.
2. We need to determine the original amount of money she had, which we will call $[/tex]c[tex]$.
Let's analyze each equation option:
- Option c × 25 = 100: This implies that Sammie's original amount multiplied by 25 would result in $[/tex]100. This does not fit our situation.
- Option c - 25 = 100: This equation means that if you subtract [tex]$25 from Sammie's original amount $[/tex]c[tex]$, you should get $[/tex]100. If we solve for [tex]$c$[/tex], it would be:
[tex]\[
c - 25 = 100
\][/tex]
To find [tex]$c$[/tex], add [tex]$25 to both sides of the equation:
\[
c = 100 + 25
\]
\[
c = 125
\]
This calculation means Sammie had $[/tex]125 in her account before taking out [tex]$25. This fits the description of the situation correctly.
- Option c ÷ 25 = 100: This would mean the original amount divided by 25 equals $[/tex]100, which does not make sense for the problem described.
- Option c + 25 = 100: This would suggest that adding [tex]$25 to the original amount would equal $[/tex]100, meaning she initially had less than what she ended up with, which doesn't fit the problem either.
Based on this analysis, the correct equation is c - 25 = 100, meaning Sammie originally had [tex]$125 in her account before she withdrew $[/tex]25, leaving her with $100.
1. Sammie took $[/tex]25 out, and after this, she had [tex]$100 remaining in the account.
2. We need to determine the original amount of money she had, which we will call $[/tex]c[tex]$.
Let's analyze each equation option:
- Option c × 25 = 100: This implies that Sammie's original amount multiplied by 25 would result in $[/tex]100. This does not fit our situation.
- Option c - 25 = 100: This equation means that if you subtract [tex]$25 from Sammie's original amount $[/tex]c[tex]$, you should get $[/tex]100. If we solve for [tex]$c$[/tex], it would be:
[tex]\[
c - 25 = 100
\][/tex]
To find [tex]$c$[/tex], add [tex]$25 to both sides of the equation:
\[
c = 100 + 25
\]
\[
c = 125
\]
This calculation means Sammie had $[/tex]125 in her account before taking out [tex]$25. This fits the description of the situation correctly.
- Option c ÷ 25 = 100: This would mean the original amount divided by 25 equals $[/tex]100, which does not make sense for the problem described.
- Option c + 25 = 100: This would suggest that adding [tex]$25 to the original amount would equal $[/tex]100, meaning she initially had less than what she ended up with, which doesn't fit the problem either.
Based on this analysis, the correct equation is c - 25 = 100, meaning Sammie originally had [tex]$125 in her account before she withdrew $[/tex]25, leaving her with $100.
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