Amy paid $63.75 for a pair of walking shoes during a 15%-off sale. What was the regular price?

Question

bbb911 · Answer

wouldn't the 15 percent be 0.15?

bbb911 · Answer

cos that's what i was taught that you divide the percents by a hundred

anonymous · Answer

Yes. You add the 0.15 (discounted) to 1(original) and get 1.15. You then multiply it by the sale price to get the original price.

bbb911 · Answer

what but what is the original dont i add it 0.15 to the sale price tho to get the original price? or cos im kind of confused sorry

johnweldon1993 · Answer

Original price * (1 - percentage sale )= current price

original price = (current price)/(1 - percentage sale )

original price = x

current price = 63.75
percentage sale =15%

x = 63.75/(1 - .15)

x= 63.75/.85

x= 75 

So the original price comes out to 75 dollars

johnweldon1993 · Answer

Hope that helps clarify anything :)

bbb911 · Answer

hopefully if i can't figure it out if i can't is it possible to help me ?

johnweldon1993 · Answer

Of course :)

bbb911 · Answer

kk thnk u :)

johnweldon1993 · Answer

anytime! :)

bbb911 · Answer

Original price * (1 - percentage sale )= current price 
when you put this the 1 - the percentage sale or

johnweldon1993 · Answer

I'm not too sure what you're asking there....

What you have quoted above...is how you fine the current price...
The current price...would have been found by multiplying the original price by the sale price right?

Well..we know the current price...and we want to find out how much it was originally...so we take the current price....and we DIVIDE it by the opposite of how much it was on sale for...

a.k.a it was on SALE for 15 percent....so there was 85 percent left right/

so 

$$Original = \frac{ Current }{ 1 - percentage }$$

Your percentage was 15%..or .15 so

$$Original = \frac{ Current }{ 1 - .15 }$$

With the current price entered and 1 - .15 equaling  .85 we have

$$Original = \frac{ 63.75 }{ .85 }$$

Did that kind of help?

bbb911 · Answer

ohhhh! i actually did tht but wasn't sure i got the .85. just wan't sure if was right . sorry bout that tahnk :) let me figure it out now :)

johnweldon1993 · Answer

Yes you were correct :) very good! ...and okay let me know how it goes :)

bbb911 · Answer

kk will do thnks :)

bbb911 · Answer

Got it 75 dollars, and its correct also on my book :) thank you for the method you sir are the best :) thanks again :)

johnweldon1993 · Answer

Very good! and don't worry about it...anytime :)