Question

After a 60% reduction, you purchase a new sofa on sale for $320. What was the original price of the sofa?

Answer 1

let x = original price

Answer 2

if you take 60% of some unknown value x, you get 0.60x

Answer 3

you then subtract it from the original price x to get

x - 0.60x

1x - 0.60x

(1-0.60)x

0.40x

Answer 4

so the sale price is 0.40x, but we also know the sale price is $320, so

0.40x = 320

x = ???

Answer 5

$800! thank you!

Answer 6

you got it

Answer 7

check:

60% of 800 = 0.6*800 = 480

so the discount is $480 (ie you save $480)


800-480 = 320

so it works out