SOLUTION: Phoebe paid $32 for a pair of sandals that was listed for $40. What rate of discount did she receive? Thanks

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Phoebe paid $32 for a pair of sandals that was listed for $40. What rate of discount did she receive? Thanks      Log On


   

Question 74250This question is from textbook Elementary algebra
: Phoebe paid $32 for a pair of sandals that was listed for $40. What rate of discount did she receive?
Thanks This question is from textbook Elementary algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since the discount was $8 (40-32=8) we can say
40p=8Where p is the percentage
p=8%2F40=1%2F5So take the discount and divide by the original price
So p=.20 or 20%. So she got a 20% discount


Check:
32=40-40pLet p=.2
32=40-40%28.2%29
32=40-8
32=32works