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)
+128406 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
