The price of a radio is $31.29, which includes a 5% sales tax. What was the price of the radio before the tax was added?

Ah, the price of the radio before taxes, huh? Well, let's do some clown math, shall we? If the final price with tax is $31.29 and the tax rate is 5%, then we can calculate the pre-tax price by doing some reverse circus magic.

To find the pre-tax price, we need to divide the final price by (1 + the tax rate). So, $31.29 divided by (1 + 0.05) equals...

*drumroll*

$29.75! Ta-da! That's the price of the radio before the tax jumped in and said, "Hey, I want a piece of that circus action too!"

To find the price of the radio before the tax was added, we need to subtract the sales tax from the total price.

Step 1: Calculate the sales tax amount:
Sales tax = Total price * Tax rate
Sales tax = $31.29 * 5% = $1.565

Step 2: Subtract the sales tax from the total price to find the price before the tax was added:
Price before tax = Total price - Sales tax
Price before tax = $31.29 - $1.565 = $29.725

Therefore, the price of the radio before the tax was added is $29.725.

To find the price of the radio before the tax was added, we need to reverse the effect of the 5% sales tax.

Step 1: Let's assume the original price of the radio, before the tax was added, is x.

Step 2: We know that the sales tax is 5% of the original price, which can be represented as 0.05x.

Step 3: The total price, including the tax, is given as $31.29, so we can set up the equation:
x + 0.05x = $31.29

Step 4: Simplifying the equation, we have:
1.05x = $31.29

Step 5: To isolate x, we divide both sides of the equation by 1.05:
x = $31.29 / 1.05

Step 6: Calculating the value of x, we find:
x ≈ $29.8

Therefore, the price of the radio before the tax was added was approximately $29.80.

1.05x = 31.29

solve for x