SOLUTION: 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 to

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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?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = amount taxed at 4%
+8200+-+x+ = amount taxed at 5%
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+330+=+.04x+%2B+.05%2A%28+8200+-+x+%29+
+330+=+.04x+%2B+410+-+.05x+
+.01x+=+410+-+330+
+.01x+=+80+
+x+=+8000+
and
+8200+-+x+=+8200+-+8000+
+8200+-+x+=+200+
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$8,000 is taxed at 4%
$200 is taxed at 5%
-------------------
check:
+330+=+.04x+%2B+.05%2A%28+8200+-+x+%29+
+330+=+.04%2A8000+%2B+.05%2A%28+8200+-+8000+%29+
+330+=+320+%2B+.05%2A200+
+330+=+320+%2B+10+
+330+=+330+
OK