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At a 9% off sale Alexandra bought a new drill and saved $17. How much did she pay for the drill? (two decimal places)

 

Richard's furniture store bought a couch and marked the price up 31%. At a 11% off sale the couch sold for $2,820. How much did Richard pay for the couch originally? (two decimal places)

 Jun 28, 2018
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At a 9% off sale Alexandra bought a new drill and saved $17. How much did she pay for the drill? (two decimal places)

 

Call the original price, P

9%  off  = 91%  of the original price  = .91P

And a savings of $17  = P - 17

So we have 

 

P ( .91)  = P -  17     add 17 to both sides,  subtract .91P from both sides

 

17  =  1P  - .91P

17  = .09P     divide both sides by .09

$188.88  = P  (the original price )

 

 

Richard's furniture store bought a couch and marked the price up 31%. At a 11% off sale the couch sold for $2,820. How much did Richard pay for the couch originally? (two decimal places)

 

Call the original price that Richard paid, P

The price after the markup was  (1.31) P

After an 11%  markdown the price was  ( 1.31 P ) (.89)

 

So we have

 

(1.31 P ) (.89)  = 2820

 

1.1659 P = 2820       divide both sides by  1.1659

 

P  = 2820 / 1.1659  =  $2418.73

 

 

cool cool cool

 Jun 28, 2018

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