contestada

. Kerry bought a bag of dog food for $37.99. If sales tax is 7.6%, how much did she pay in tax?

Respuesta :

Answer

Find out the how much did kerry pay in tax .

To proof

As given

Kerry bought a bag of dog food for $37.99.

If sales tax is 7.6%

7.6 % is written in the decimal form

[tex]= \frac{7.6}{100}[/tex]

= 0.076

7.6 % of the $37.99 = 0.076 ×37.99

                               = 2.88724

                               = $2.89 ( approx)

Kerry pay in the sales tax be $2.89

Hence proved

Total cost of a bag of dog food = $37.99.

Let us assume cost of a bag of dog food excluding sales tax = $x.

Sales tax is 7.6 %.

Total cost of a bag of dog food including tax = x+ 7.6% of x.

x + 0.076x = 37.99

1.076x = 37.99.

Dividing both sides by 1.076, we get

1.076x/1.076 = 37.99/1.076.

x = 35.31.

Therefore, cost of a bag of dog food excluding sales tax = $35.31.

Sales tax = 7.6 % of  $35.31 = 0.076 × 35.31 = 2.68.

Therefore, she paid $2.68 in tax.