Jade has $451.89 in her checking account. After 3 checks, each for the same amount, are deducted from her account, she has $358.92 left in her account. Assume she makes no other withdrawals or deposits. Which equations represent c, the amount of one check, in dollars? Check all that apply
451.89-c=358.92
451.89-3c+358.92
358.92+3c=451.89
358.92+c+c+c=451.89
c=3(451.89-358.92)
3c=451.89-358.92

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For the given case, assuming that the amount of each of those 3 checks was $c dollars.

Then, as the initial amount Jade had was $451.89, and 3 checks of $c amount were used one by one, thus, the remaining amount is
$451.89 - $c - $c - $c = 451 - 3 times c = [tex]451.89 - 3c[/tex] (in dollars)

This amount is given to be as $358.92

Thus, [tex]451.89-3c =358.92[/tex]

Various forms of this equation can be written as:

[tex]451.89=358.92+c +c +c\\or\\451.89=358.92+3c\\451.89-c - c - c =358.92\\or\\or\\451.89-3c =358.92\\or\\451 - 3c - 358.92 = 0\\or\\3c = 451.89- 358.92\\or\\\\c = \dfrac{451.89 - 358.92}{3} = 92.97 \: \text{(In dollars)}[/tex]

Hence, the amount of one check, in dollars deduced from Jade's account is represented by the equation given by:

Option C: 358.92+3c=451.89
Option D: 358.92+c+c+c=451.89
Option E: 3c=451.89-358.92

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