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Math Help - Need help understanding Sales Tax Rate

  1. #1
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    Need help understanding Sales Tax Rate

    I'm extremely thick headed for some reason so help would be appreciated.

    Ok so lets say I paid $22.69 for a pizza. The sale tax rate is 8%. Now I need to find the price of the pizza alone.

    My question is, why can't I just subtract 8% from the 22.69 to get my answer? When I read the problem, that's the first solution my brain comes up with (to just subtract 8% off the price that already has 8% added to it.)
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  2. #2
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    (price \ of \ pizza)*(1+tax)=22.69
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  3. #3
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    Yeah I have the proper way to do the problem right in my book, I've done a dozen problems like this.

    It's just that now I'm at a word problem section and I don't understand WHY I have to do it that way. When I read it as a word problem, my first instinct is to find 8% of the $22.69 and subtract it off the $22.69. I know it sounds crazy, I just can't figure out WHY I have to do that way and it's really getting under my skin lol.
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  4. #4
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    8% of the total is 8% of the pizza and 8% of the tax.

    The pizza cost x dollars.

    We know x dollars + 8% of x dollars = the total.

    Tax = x*.08

    x+x*.08=x(1+.08)=total

    I just factored out the x.
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  5. #5
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    Alright thanks, I'll read that a few times.
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