document.write( "Question 994815: A purchase order includes items that cost a total of $8,200. Some of those items require an additional sales tax of 4% whereas the remaining items require a 5% sales tax. If the total sales tax is $330, how much is taxed at each rate? \n" ); document.write( "

Algebra.Com's Answer #613788 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+x+\"$ = amount taxed at 4%
\n" ); document.write( " $\"+8200+-+x+\"$ = amount taxed at 5%
\n" ); document.write( "--------------
\n" ); document.write( " $\"+330+=+.04x+%2B+.05%2A%28+8200+-+x+%29+\"$
\n" ); document.write( " $\"+330+=+.04x+%2B+410+-+.05x+\"$
\n" ); document.write( " $\"+.01x+=+410+-+330+\"$
\n" ); document.write( " $\"+.01x+=+80+\"$
\n" ); document.write( " $\"+x+=+8000+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+8200+-+x+=+8200+-+8000+\"$
\n" ); document.write( " $\"+8200+-+x+=+200+\"$
\n" ); document.write( "-------------------
\n" ); document.write( "$8,000 is taxed at 4%
\n" ); document.write( "$200 is taxed at 5%
\n" ); document.write( "-------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+330+=+.04x+%2B+.05%2A%28+8200+-+x+%29+\"$
\n" ); document.write( " $\"+330+=+.04%2A8000+%2B+.05%2A%28+8200+-+8000+%29+\"$
\n" ); document.write( " $\"+330+=+320+%2B+.05%2A200+\"$
\n" ); document.write( " $\"+330+=+320+%2B+10+\"$
\n" ); document.write( " $\"+330+=+330+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );