F $23.50 in tax was added to the price of an item with 9.4% sales tax what was the original price in dollars of the item

Respuesta :

Answer:

The original price of the item is $250.

Step-by-step explanation:

Given that:

Amount of tax added to price of item = $23.50

Percent of sales tax = 9.4% = [tex]\frac{9.4}{100} = 0.094[/tex]

Let,

x be the original price of the item.

0.094 of x = 23.50

0.094x = 23.50

Dividing both sides by 0.094

[tex]\frac{0.094x}{0.094}=\frac{23.50}{0.094}\\x=250[/tex]

Hence,

The original price of the item is $250.

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