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Mathematics 10 Online
OpenStudy (anonymous):

Liberal Arts Math

OpenStudy (anonymous):

OpenStudy (michele_laino):

from your data I can calculate, total befor tax, as: \[3.45+8.95+5.50+5.95=23.85$\] now in order to calculate the tax percentage p, keep in mind that the subsequent condition has to be checked:

OpenStudy (michele_laino):

\[23.85+\left( \frac{ p }{ 100 } \right)*23.85=25.52\] so?

OpenStudy (anonymous):

What's P/100

OpenStudy (michele_laino):

p/100 is the tax percentage, expressed in %

OpenStudy (anonymous):

Okay so how do I add it

OpenStudy (michele_laino):

please, you have to calculate p, from the preceding equation

OpenStudy (michele_laino):

please subtract 23.85 from both sides of the above equation

OpenStudy (anonymous):

1.67

OpenStudy (michele_laino):

for example left side is: \[23.85+\left( \frac{ p }{ 100 } \right)*23.85-23.85=\frac{ p }{ 100 }*23.85\]

OpenStudy (michele_laino):

right side is 1.67, ok! now, please equate my left side to your right side

OpenStudy (michele_laino):

you should get this \[\frac{ p }{ 100 }*23.85=1.67\]

OpenStudy (michele_laino):

do you agree?

OpenStudy (anonymous):

Okay

OpenStudy (michele_laino):

ok! Now, please multiply both sides of the above equation by 100

OpenStudy (anonymous):

p/100 x 2385 = 167

OpenStudy (michele_laino):

please note that: \[\frac{ p }{ 100 }*23.85 *100=p*23.85\] because 100/100=1

OpenStudy (michele_laino):

so? please retry!

OpenStudy (michele_laino):

|dw:1419604236766:dw|

OpenStudy (michele_laino):

right side is 167 ok!

OpenStudy (anonymous):

Okay!

OpenStudy (michele_laino):

please write the equation you have got

OpenStudy (anonymous):

167 x 23.85

OpenStudy (michele_laino):

I think no, noite that, our equation is: \[p*23.85=167\] so please you have to divide both sides of the above equation by 23.85

OpenStudy (michele_laino):

what is p?

OpenStudy (michele_laino):

\[\frac{ p*23.85 }{ 23.85 }=\frac{ 167 }{ 23.85 }\]

OpenStudy (anonymous):

solve it @CaseyCarns

OpenStudy (anonymous):

7%

OpenStudy (michele_laino):

well done!

OpenStudy (michele_laino):

thanks! @CaseyCarns @MARC_

OpenStudy (anonymous):

credits to u too! @Michele_Laino

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