High School

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Sammie took [tex]$\$[/tex]25[tex]$ out of her checking account. After taking the money out, she had $[/tex]\[tex]$100$[/tex] remaining. Which equation can be used to find the amount, [tex]$c$[/tex], Sammie had in her account before she took the money out?

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

Answer :

Let [tex]$c$[/tex] be the amount in Sammie's account before the withdrawal. Since she withdrew \[tex]$25, the expression for the remaining amount is

$[/tex][tex]$
c - 25.
$[/tex][tex]$

We are told that after the withdrawal, she had \$[/tex]100 remaining. Therefore, we can set up the equation

[tex]$$
c - 25 = 100.
$$[/tex]

To solve for [tex]$c$[/tex], we add 25 to both sides:

[tex]$$
c - 25 + 25 = 100 + 25,
$$[/tex]

which simplifies to

[tex]$$
c = 125.
$$[/tex]

Thus, the correct equation that represents the situation is

[tex]$$
c - 25 = 100.
$$[/tex]

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