there is a sales tax of $8 on an item that costs $82 before tax. a second item costs $123 before tax. what…

there is a sales tax of $8 on an item that costs $82 before tax. a second item costs $123 before tax. what is the sales tax on the second item?

there is a sales tax of $8 on an item that costs $82 before tax. a second item costs $123 before tax. what is the sales tax on the second item?

Answer

Explanation:

Step1: Calculate the tax - rate

The tax - rate $r$ is calculated by dividing the tax amount by the pre - tax cost. For the first item, $r=\frac{8}{82}$.

Step2: Calculate the tax for the second item

Let the tax for the second item be $t$. We know that $t = r\times123$. Substituting $r=\frac{8}{82}$ into the formula, we get $t=\frac{8}{82}\times123$. $t=\frac{8\times123}{82}=\frac{984}{82}=12$.

Answer:

$12$