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Mathematics 15 Online
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?

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

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

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 \[0.8P=88\]

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 \(110-22=88\)

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

OpenStudy (anonymous):

whew

OpenStudy (kaloemalia):

haha

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