Respuesta :

Solution:

Given:

I JUST BOUGHT A NEW COMPUTER FOR $1908.00, INCLUDING 6% SALES TAX.

That is, the total cost is

Let the item's original cost be represented by x

The total sales tax formula is

[tex]Total\text{ s}ales\text{ tax}=item\text{ cost}\times sales\text{ tax}[/tex]

Where

[tex]sales\text{ tax}=6\%=\frac{6}{100}=0.06[/tex]

Total sales tax will be

[tex]=x\times0.06=0.06x[/tex]

To find the total cost, the formula is

[tex]\begin{gathered} Total\text{ cost}=Item\text{ }cost+Total\text{ sales tax} \\ 1908.00=x+0.06x \\ 1908.00=1.06x \\ 1.06x=1908.00 \\ x=\frac{1908.00}{1.06}=\text{ \$1800} \end{gathered}[/tex]

Hence, the original cost, x, of computer is $1800