Stuck on Algebra?

Question

how do you figure out this problem? (are there formulas?)

An item costs $100 including 6% sales tax. What is the cost of the item before sales tax? What is the amount of sales tax?

I'm stuck!!!! Thank you!

Answer 1

$100 = 106%
1% = $100 divided by 106
100% (i.e. cost before tax)= $100 divided by 106, multiplied by 100
= $94.34
sales tax= $100- $94.34
= $5.66

Hope that helps! (",)

Answer 2

The formula to figure this out would be:

100 = x + .06x
which is simplified into:
100 = 1.06x

Let x = the original cost of the item before sales tax.

Let 100 - x = the cost of sales tax.

Answer 3

hey! it's simple....94$ is the cost of the item before sales tax....and the amount of sales tax is 6$.
It's only a percentage problem.
actual sales tax= 6\100 *100 = 6$.
and before sales tax the item cost 100-6=94$.

GOT IT!!

Answer 4

the cost of the item before taxes is 94.34 $. the amount of sales tax is 5.66 $.

let x represent the price of the item before taxes.
you know that the 100$ includes the initial price plus the tax.
and you know that there is 6% sales tax

100 = x + 0.06X
100 = 1.06x
100/1.06 = x
x = 94.34 $

Answer 5

Net price = cost price [ 1+ (sales tax %) ]

100 = cost price [ 1+ (6/100)]

cost price [ 106 /100 ] =100

cost price = 10000/106
cost price = $94.34 approximately

Answer 6

The items price before tax is p.

6% sales tax in dollars is 0.06 * p

p+0.06p = 100

1.06p = 100

p = 100/1.06 = 94.3396...

Checking with 94.34 (rounding is required):

94.34 * 1.06 = 100.0004 (rounded to 100.00)

Answer 7

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Answer 8

let
x -- original cost of item
x + 0.06x = 100
thus
1.06x = 100
or
x = $ 94.34
amount of sales tax = $ 5.66

Answer 9

If g is the original price then g + 6/100g =$100

Multiply throughout by 100
100g + 6g = 10000
106g= 10000
g (original price) =$94.33
Sales tax $5.67

Answer 10

let x=original price
100=x+0.06x
100=1.06x
x=$100/1.06
You can calculate 100/1.06 since I don't have my calculator at hand right now.