The Johnsons need a new living room couch. The couch they like costs $2,700. The salesperson told the Johnsons that the couch will be on sale next month for 20% off.
If the sales tax rate in their city is 7.5%, how much will the Johnsons save including sales tax, if they wait until the couch goes on sale?
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To find out the price of something with percent added or subtracted, multiply the original price by 1 + the percent converted to decimal or 1- the percent converted to decimal.
Convert a percent to decimal by taking the percent and move the decimal two places to the left or multiplying it by .01.
To find the difference between the two prices, calculate the non sale price and the sale price and just subtract one from the other. remember that the 20% off applies before you have to add in the 7.5% sales tax.
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Percent problems have 3 parts to them: (Percent) = (Part amount)/(Total amount) times 100. This can be written 3 ways to solve for any of the missing parts.
Fs = 2700(20%)
Fs = 2700(.2)
Fs = 540.
The Furniture on sale(Fs) is $540 off its original price.
How much tax would that have been?
T = 540(7.5%)
T = 540(.075)
T = 40.50
The tax is $40.50.
Total savings is Fs + T: 540 + 40.50 = $580.50
Let me know if this helps or if you're still stuck on something.
thank you very much both of you(: i understand this way better but isnt this a porpotion (however you speell it) problem?
proportions, fractions, and percents are all interrelated. They are like one big happy kentucky family :)