Mathematics
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OpenStudy (kaloemalia):
PLEASE HELP
Suppose you paid $88 for a pair of shoes that has been discounted 20%. What was the original price of the shoes before the discount?
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OpenStudy (kaloemalia):
@jim_thompson5910 @dtan5457
OpenStudy (anonymous):
to reduce a number by 20% multiply it by \(100\%-20\%=80\%=0.8\)
OpenStudy (kaloemalia):
first it says i have to identify my unknown variable
OpenStudy (anonymous):
so you know that \(0.8\times P=88\) solve for \(P\) by dividing
OpenStudy (anonymous):
i made \(P\) the original price, you can choose any variable you like
that is the unknown, the original price
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OpenStudy (kaloemalia):
okay, one second, sorry i had to swat a fly, haha
OpenStudy (kaloemalia):
dividing what?
OpenStudy (anonymous):
you have 80% of the original prices is $88 so \[0.8P=88\] solve this for \(P\) by dividing both sides by \(0.8\)to get \(P\) by itself
OpenStudy (anonymous):
could you solve \[2x=8\]?
OpenStudy (anonymous):
btw it is not a matter of "remembering" you are not born knowing this
it is a matter of learning how to do it
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OpenStudy (kaloemalia):
4
OpenStudy (kaloemalia):
and thanks
OpenStudy (anonymous):
yes because if \[2x=8\] then \[x=8\div 2=4\]
OpenStudy (kaloemalia):
yes
OpenStudy (anonymous):
you have something similar \[0.8P=88\]
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OpenStudy (anonymous):
that makes \[P=88\div 0.8\]
OpenStudy (kaloemalia):
110?
OpenStudy (anonymous):
which you can compute easily enough without a calculator, but real easy with one (calculators are made for decimals)
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
the check is easy
\(20\%\) of \(110\) is \(22\) and \(110-22=88\)
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OpenStudy (kaloemalia):
okay, thank you so much!
OpenStudy (anonymous):
yw
not so bad was it?
OpenStudy (kaloemalia):
not entirely! thanks again
OpenStudy (anonymous):
got more?
OpenStudy (kaloemalia):
not yet
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OpenStudy (anonymous):
whew
OpenStudy (kaloemalia):
haha