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Noah sees a pair of shoes he wants to buy. The shoes have an original price of $40 but are $10 off this week. Noah has a coupon for an additional 20% off of the sale price of the shoes. What is the total percent discount (total markdown) that Noah will receive on the shoes before tax is calculated?

 Feb 12, 2019
 #1
avatar+244 
+2

The shoes have an original price of $40 but are $10 off, this means that the sale this week is $30.

 

An additional 20% off means that it is basically 80% of the shoe being sold this week. So \(30*\frac{8}{10} = 24\)

 

Since the shoes he is going to buy are $24 dollars out of the $40 original price. The price dropped $16.

 

What percent of 40 is 16? You can convert it into a fraction by dividing 16 by 40. So \(\frac{16}{40} = \frac{4}{10}\)

 

Since \(\frac{4}{10}\) is easily recognized as 40%. The total percent discount is 40%

 Feb 12, 2019
 #2
avatar+17269 
+2

40 -10 = 30 dollars      now he gets a 20% discount form 30 dollars

 

30 - .2(30) = $24    Final price

 

that is 16 dollars off full price     16/40 x 100% = 40% off

 Feb 12, 2019

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