Mathematics
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OpenStudy (anonymous):
i got a pair of shoes that was $61.02 after 40% off. what was the amount of the shoes before the 40% off.
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OpenStudy (anonymous):
let original price = x
sale price = x - 40% of x = x - 40x/100 = 60x/100
so now equate this to 61.02 and solve to get x
OpenStudy (anonymous):
Nicely explained Harkirat.
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
Did that make sense tena?
OpenStudy (anonymous):
thanks polpak and congratulations for becoming a moderator !!!
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OpenStudy (anonymous):
Indeed. Though I dunno that the experience is all that different than before.
OpenStudy (anonymous):
i think lol
OpenStudy (anonymous):
I am still trying to figure the answer out
OpenStudy (anonymous):
how did you get 60?
OpenStudy (anonymous):
Well ok, so lets say p is the original price.
p - (40% of p) = 61.02
40% of p = .4p
So 1(p) - .4(p) = 61.02
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OpenStudy (anonymous):
What is 1 - .4 ?
OpenStudy (anonymous):
-3
OpenStudy (anonymous):
You missed the decimal point there.
OpenStudy (anonymous):
1.00 - 0.40
OpenStudy (anonymous):
oh i didnt see it
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OpenStudy (anonymous):
You can also just think about it as this.. $61.02 is 40% off the original price.
So what percent was left after you took 40% off?
OpenStudy (anonymous):
i came up with 64.42
OpenStudy (anonymous):
If you take 40% of a cake and eat it. How much cake is left?
OpenStudy (anonymous):
a little under1/2?
OpenStudy (anonymous):
A little over half. You ate a little less than half.
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OpenStudy (anonymous):
There is 100% in a whole cake. If you eat 40% of the whole cake, what percent is left?
OpenStudy (anonymous):
Isn't it 100% - 40% = 60%?
OpenStudy (anonymous):
ok i see where the 60 came from
OpenStudy (anonymous):
So 61.02 is the 60% of the original price that is left.
Therefore:
\[61.02 = .6(p) \implies p = ?\]
OpenStudy (anonymous):
ok i got 121.04?
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OpenStudy (anonymous):
How did you get that?
OpenStudy (anonymous):
gosh I have no clue now i got 97.63
OpenStudy (anonymous):
What are you doing to find these numbers?
OpenStudy (anonymous):
If I told you that
5d = 434
How would you solve for d?
OpenStudy (anonymous):
divide
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OpenStudy (anonymous):
Divide what by what?
OpenStudy (anonymous):
it would be 868?
OpenStudy (anonymous):
What are you dividing?
OpenStudy (anonymous):
5 into 434
OpenStudy (anonymous):
\[{434 \over 5} = 86.8\]
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OpenStudy (anonymous):
ugh forgot the decimal
OpenStudy (anonymous):
So then if you have:
\[.6p = 61.02\]
You find p by doing:
\[p = {61.02\over .6}\]
OpenStudy (anonymous):
101.70?
OpenStudy (anonymous):
correct tena!!
OpenStudy (anonymous):
Nicely done.
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OpenStudy (anonymous):
i be. thats one of the answers I had when I done it with my sister and she said it wasnt right lol
OpenStudy (anonymous):
then i went to the internet for help. thanks soooooo much