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?

Question

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?

anonymous · Answer

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.

anonymous · Answer

Convert a percent to decimal by taking the percent and move the decimal two places to the left or multiplying it by .01.

anonymous · Answer

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.

amistre64 · Answer

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

anonymous · Answer

Let me know if this helps or if you're still stuck on something.

anonymous · Answer

thank you very much both of you(: i understand this way better but isnt this a porpotion (however you speell it) problem?

amistre64 · Answer

proportions, fractions, and percents are all interrelated.  They are like one big happy kentucky family :)