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

Use decay factors to determine the price of the suit.

( 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