The tax on a purchase was $9.33. If the sales tax rate is 6%, how much was the purchase? Write and solve an equation.
$155.5
how I found it: I tried to find what an amount for which to total amount of tax cost $9.33
so, I chose random numbers to test this,
155.5x.06=9.33
Online, “*” is used to indicate multiplication to avoid confusion with “x” as an unknown.
.06x = 9.33
x = 9.33/06 = 155.50
To solve this problem, we can set up an equation using the given information. Let's assume the purchase amount is "x".
We know that the sales tax rate is 6%, which can be written as a decimal as 0.06.
The tax on the purchase can be found by multiplying the purchase amount by the sales tax rate:
Tax = 0.06 * x
According to the problem, the tax on the purchase is $9.33. So we can write the equation as:
0.06 * x = $9.33
To find the purchase amount (x), we need to isolate it. We can do this by dividing both sides of the equation by 0.06:
x = $9.33 / 0.06
Using a calculator, we can evaluate this expression to find the value of x:
x ≈ $155.50
Therefore, the purchase amount was approximately $155.50.