Question

Rosa bought a new hat when she was on vacation.

The following formula describes the percent sales tax Rosa paid.

B = t - c / c

Where
T= total price Rosa paid for the hat
C= total cost of the hat
B= sales tax (percent)

Rewrite the formula to determine the total cost Rosa paid for the hat.

Answer 1

The given formula is

`B = (T-C)/(C)`

Where B is the sales tax.

T is the total amount she paid for hat, and

C is the total cost of the hat .

In this question , we need to solve for T

We start with getting rid of the denominator C, by doing cross multiplication, that is

`BC = T-C`

Now we need to get rid of the C that is in the right side and for that we add C .

`BC+C=T`

It can also be written as

`T=BC+C`

C is the common factor in the right side .

`T= C(B+1)`

And that'sthe required answer .