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)

Guest Jun 28, 2018

#1**+1 **

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

CPhill Jun 28, 2018