Question

There is sales tax of $9.00 on an item t that costs $ 120.00 before tax. The sales tax on a different item is $ 19.05. How much does the second item cost before tax?

Answer 1

Step 1:

In this question, we are given that:

There is sales tax of $9.00 on an item that costs $ 120.00 before tax.

The sales tax on a different item is $ 19.05.

We are meant to find how much the second item cost before tax.

Step 2:

Assuming that there is an equal percentage of tax,

and let the second item cost before tax be y,

then we have that:

`(9)/(120)\text{ = }(19.05)/(y)`

Cross-multiply, we have that:

`\begin{gathered} 9\text{ x y = 19.05 x 120} \\ 9y\text{ = 2286} \\ \end{gathered}`

Divide both sides by 9, we have that:

`\begin{gathered} y\text{ = }(2286)/(9) \\ y\text{ = 254} \end{gathered}`

CONCLUSION:

The cost of the second item before tax = $ 254