how do you figure an original price if you are 180$ less than the original price after it has been decreased by 20% twice.

- anonymous

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- amistre64

20% twice eh... gotta read the whole thing

- amistre64

180 = P(1 - .2)^2
180
----- = P perhaps?
(.8)^2
180/.64 = 281.25 ; lets test that

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## More answers

- amistre64

281.25(.8) =225
225(.8) = 180

- anonymous

they say the answer is 500 If I reduce 500 by 20% twice I get 180. but I can do the reverse?

- amistre64

...... lets see what they are talking about then
500*.8 = 400 ... i dont see it as 500

- amistre64

500*.2 = 100
and at best that gets you to 300

- amistre64

Original Price (.8) = sale price at 20% 0ff

- amistre64

if its marked down twice from the original price wed still be less than 500

- amistre64

Original Price(.6) = 40% off original
and thats 300 at best

- anonymous

500x.20=100
500-100=400
400x.20=80
400-80=320
320+180=500 ...how do I do it in reverse if all I know is the price was reduce 180$ after been decreased by 20% twice.

- amistre64

Price paid
-------------- = Original Price
(1- %)^how often
180
-------- = 281.25
(1 - .2)^2

- anonymous

I have no idea what that means/ sorry

- amistre64

... which part?

- amistre64

Do you know how much was paid?

- anonymous

no only reduce by 180$ after 20% decrease twice

- amistre64

ohhh; i read it wrong... I thought 180 was the amount paid....

- amistre64

P(.2) = Amount reduced
Amount reduced(.2) = 180 is what yor looking for right?

- anonymous

the amount was reduce twice by 20% ??? was reduced by 180$ what the original amount

- amistre64

close to it

- anonymous

What does this symbol mean ^

- amistre64

its how you indicate an exponent on a keyboard

- amistre64

it point up to tell you the number is a little higher

- anonymous

OH

- amistre64

3^2 = 9

- amistre64

A{n} = A{n-1} - A{n-1}(.2)
A{n-1} = A{n-2}(.2) - A{n-2}(.2)(.2) maybe

- anonymous

Thanks but it just doesn't make any sense

- amistre64

its a work in progress :) but I think I narrowed it down tho this:

- amistre64

Po(.2) = %off1
Po(.8) = saleprice
saleprice(.2) = %off 2
%off1 + %off2 = 180

- amistre64

Po(.2) + Po(.8)(.2) = 180
Po(.2 + .16) = 180
Po = 180/(.36) maybe?

- amistre64

Po = 180/.36 = 500

- anonymous

were did the .36 com from

- amistre64

.2 + .16 = .36

- amistre64

First step; lets agree that the steps I took are valid..
Po(.2) = %off1 agree?

- anonymous

yes

- amistre64

Po(.8) = sale price
sale price (.2) = %off2 agree?

- anonymous

OK

- amistre64

%off1 + %off2 = 180
Po(.2) + Po(.8)(.2) = 180 agree?

- anonymous

yes

- amistre64

Po(.2) + Po(.16) = 180
Po(.2 + .16) = 180
Po(.36) = 180 agree?

- anonymous

where did the .16 come from

- amistre64

.8 times .2 = .16

- amistre64

Po(.8)(.2) = Po(.16)

- anonymous

how would I know to do that.....makes no sense

- amistre64

.......... I really cant step this down much further.
You know that Po(.8) = sale price ; and also that sale price(.2) = %off2
So we put that all together to get:
Po(.8)(.2) = Po(.16)

- anonymous

looks like a lot of people like your help, amistre can you help with my trignometric substitution problem?

- amistre64

I can try :)

- anonymous

cool meet you there, thanks so much

- anonymous

thanks sorry to hold you to long

- amistre64

'sok.... the math keeps :)

- amistre64

do you see how it works thru that?
all we did was define our steps, then added the Po to it to keep track of the 'original price'

- amistre64

if we know how the original price plays a part in this; we can solve for it

- anonymous

when I add the % I total 100%. never though of multiply them...still don;t know why you would mulitpy them

- amistre64

Po(.8) = sale price ; sale price (.2) = %off2
^^^^^^^^^^^^^^^^^
this part is redundant
so remove it
Po(.8)(.2) = %0ff2

- anonymous

my test says the answer is 500=original price

- amistre64

your test is correct....
why? because 180/.36 = 500

- amistre64

Po(.8)(.2) = Po(.16) = %off2

- amistre64

Po(.2) = %off1
Po(.16) = %off2
%off1 + %off2 = 180
Po(.2) + Po(.16) = 180

- anonymous

I see... 20% off the first time and 16% off the second time.....I would of never figured that out?????

- amistre64

its not really 16% off :) Its just that that what it amounts to to figure this out ;)

- amistre64

actually, your spot on it lol

- anonymous

How about another one,,,
ticket sales have gone up 10% reaching 880 tickets how many ticket were sold in the last season.
my answer is 792 but its wrong

- amistre64

wish I could try it, but library is closing...good luck :)

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