Need help with a math problem, please :)

Recommended Posts

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.

Share on other sites

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)

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

price = \$92.75 / 1.06 = \$87.50

Thank you!!

Share on other sites

well, I'll chime in late. \$92.75 is 106%, so you can just divide it by 106, and multiply by 100.

Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account.

×   Pasted as rich text.   Paste as plain text instead

Only 75 emoji are allowed.