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Need help with a math problem, please :)

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Hello everyone :)

I haven't been here in a while, but I'm stumped on a math problem and knew that someone here would be able to help me. I really ought to be able to figure this out, but I have no clue... :tongue_smilie:


If the total price of something (cost + tax) is $92.75; and the sales tax is 6%, how much was the original price before tax?


Please tell me how to figure this out so that I can explain it to my son, lol.

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Total $ = price + tax


tax = (price X tax rate)


Therefore, by substitution


Total $ = price + (price X tax rate)


Next, by the distributive property of multiplication, this can be changed to:


Total $ = price * (1 + tax rate)


So, if you know the total $ and the tax rate, you can solve the equation for price by dividing both sides by (1 + tax rate), which gives you:


price = Total $ / (1 + tax rate)


In your case,


price = $92.75 / (1 + 0.06) since the tax rate = 6% or 0.06


price = $92.75 / 1.06 = $87.50

Edited by Dad 4 Boys
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