Sammy had [tex]$\$[/tex]100[tex]$ remaining in her account. Which equation can be used to find the amount, $[/tex]c[tex]$, Sammy had in her account before she took the money out?

A. $[/tex]c - 25 = 100[tex]$
B. $[/tex]c + 25 = 100[tex]$
C. $[/tex]c \times 25 = 100$



Answer :

To find the correct equation that represents Sammy's situation, let's analyze each option step-by-step and see which one makes sense based on the given scenario.

### Option 1: [tex]\(c - 25 = 100\)[/tex]
This equation implies that Sammy started with an amount [tex]\(c\)[/tex] in her account, and after she withdrew [tex]$25, she was left with $[/tex]100.
To check if this equation is correct, solve for [tex]\(c\)[/tex]:

[tex]\[ c - 25 = 100 \][/tex]

Add 25 to both sides to isolate [tex]\(c\)[/tex]:

[tex]\[ c = 100 + 25 \][/tex]
[tex]\[ c = 125 \][/tex]

So, according to this equation, Sammy had [tex]$125 in her account before withdrawing $[/tex]25 and being left with [tex]$100. This seems reasonable. ### Option 2: \(c + 25 = 100\) This equation suggests that Sammy started with an amount \(c\) in her account, and after adding $[/tex]25, she was left with [tex]$100. To check if this equation is correct, solve for \(c\): \[ c + 25 = 100 \] Subtract 25 from both sides to isolate \(c\): \[ c = 100 - 25 \] \[ c = 75 \] So, according to this equation, Sammy had $[/tex]75 in her account before adding [tex]$25 and being left with $[/tex]100. This does not fit the scenario described, as Sammy did not add money but withdrew it.

### Option 3: [tex]\(25 \times c = 100\)[/tex]
This equation implies that Sammy had an amount [tex]\(c\)[/tex], and after multiplying it by 25, she was left with [tex]$100. To check if this equation is correct, solve for \(c\): \[ 25 \times c = 100 \] Divide both sides by 25 to isolate \(c\): \[ c = \frac{100}{25} \] \[ c = 4 \] This would mean Sammy had $[/tex]4 initially, and multiplying it by 25 resulted in [tex]$100. This scenario does not make sense given the context of taking out money. ### Conclusion The correct equation to represent Sammy's situation is: \[ c - 25 = 100 \] This means Sammy initially had $[/tex]125 in her account, and after withdrawing [tex]$25, she was left with $[/tex]100.