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# A 400 suit is on sale for 20% off. You have a coupon for an additional 30% off.

Use decay factors to find the price of the suit.

### 2 Answers by Expert Tutors

Michael F. | Mathematics TutorMathematics Tutor
4.7 4.7 (6 lesson ratings) (6)
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If the suit is on sale for \$400, and that amount is 20% off its original price, then it started at \$500.
Taking the successive discounts, \$500×.8=\$400 for the 20%, and then \$400×.7 =\$280 for the additional 30%
I am unable to produce the \$276.
Robert A. | Certified Teacher and Engineer - Tutoring Physics, Maths, and SciencesCertified Teacher and Engineer - Tutorin...
5.0 5.0 (114 lesson ratings) (114)
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There are two ways find a sale price.
First convert the %s to decimals.  Then:
1) You can find the % off and subtract it from the original price.
\$400 X 0.2  and then subtract that amount from \$400
2) Or you can subtract the % off from 100% and multiple that times the original price.
(100% - 20%) = 0.8 x \$400
Then you have the additional problem of another discount.
You can calculate the price after 20% off and then take 30% off of that.
Multiplication is the same no matter what order you do in it.
So you can do the 20% first then 30%, or you can do the 30% first.