SOLUTION: Please show me how to set this percentage question up. Find the original price of a pair of shoes if the sale price is $36.00 after a 60% discount. What is the original price o

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: Please show me how to set this percentage question up. Find the original price of a pair of shoes if the sale price is $36.00 after a 60% discount. What is the original price o      Log On


   



Question 219961: Please show me how to set this percentage question up.
Find the original price of a pair of shoes if the sale price is $36.00 after a 60% discount. What is the original price of the shoes?
I have tried 36 x .30(30%)?
I am not sure how to set it up? Thank you

Found 2 solutions by rfer, MathTherapy:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
36/.40=$90
If you forget wheather to divide or multiply, just remember if you want more or less than the given and try both to find which gives you that answer.
36*.4 would give you 40% of 36 not the answer your looking for.
Good luck
Bob

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Please show me how to set this percentage question up.
Find the original price of a pair of shoes if the sale price is $36.00 after a 60% discount. What is the original price of the shoes?
I have tried 36 x .30(30%)?
I am not sure how to set it up? Thank you

The original price is always represented by 100%, or 1

Since there was a 60% discount, it follows that the shoes cost 40% (100% - 60%) of its original price

By letting original price equal P, we can therefore use proportions to find the original price, or 100%, or 1

36%2FP+=+.4%2F1

.4P = 36 ------ Cross-multiplying

P, or original price of the shoes = 36%2F.4, or $highlight_green%2890%29