The sales tax on a used car is​ $156​, and the sales tax rate is 5​%. Find the purchase price ​(the price before taxes are​ added).

0.05x = 156

The sales tax on a used car is​ 150$​, and the sales tax rate is ​6%. Find the purchase price ​(the price before taxes are​ added).

To find the purchase price of the used car, we can use the concept of sales tax. Sales tax is a percentage of the purchase price that is added on top as tax. In this case, the sales tax rate is 5%.

Let's represent the purchase price as "x".

The sales tax amount is given as $156, which is 5% of the purchase price.

Mathematically, we can represent this as:

(5/100) * x = $156

To solve this equation and find the purchase price, we need to isolate "x" on one side of the equation.

First, let's simplify the equation:

(5/100) * x = $156

We can rewrite the percentage as a decimal:

0.05 * x = $156

Now, we can solve for "x" by dividing both sides of the equation by 0.05:

x = $156 / 0.05

Calculating this:

x = $3120

Therefore, the purchase price (price before taxes are added) of the used car is $3120.