Use decay factors to determine the price of the suit.

## a $100 suit is on sale for 30% 0ff. You present a coupon for an additonal 20% off .

Tutors, please sign in to answer this question.

# 4 Answers

( 1 - 0.30 ) 100 =$ 70 sales price

( 1- 0.20 ) $70 = 0.80 ( $70) = 56

30% sells for %70 of the original price , and 20% coupon will sell for 80% of discounted price.

So :

$100 * 0.70 * 0.80 = $ 56 / one line solution.

Oliva,

We can solve also like this

100(.30)= 30

100-30= 70

Now again 20% on $70

70(.20)=14

70-14=56

The decay factors are (1-30/100) and (1-20/100), where 30/100 and 20/100 stands for the actual percentages that are taken off of the initial price.

Therefore, the final price will be $100*(1-.30)*(1-.20)=$56 dollars.

Multiplying by (1-.20) after we've already calculated $100*(1-.30) assures that the coupon will be applied on the already reduced price.

Olivia,

the price of the suit = $100(1-.3)*(1-.2) = $100*.7*.8=$56.00. Notice that the total % (56)is a little larger than the sum of the percents off (30+20=50).

Jim