document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=635823>Question 635823</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this equation. Thank you.\r<BR>\n" );
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document.write( "Deducting Sales Tax... A tax -exmpt charity recieved a bill of $145.90 for a sump pump. The bill incorrectly included sales tax of 5%. How much does the charity owe?\r<BR>\n" );
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document.write( "I  know the correct way to think of the problem is... The origional price, a variable, + 5% of the origional price equals $ 145.90. I've came up with this so far...\r<BR>\n" );
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document.write( "5% is converted to  0.05\r<BR>\n" );
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document.write( "0.05 * 145.90 = 7.295\r<BR>\n" );
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document.write( "145.90 - 0.05 = 145.85\r<BR>\n" );
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document.write( "so would the answer be $ 145.85 ????\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #400596 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=400596\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> No, that's not right. Here is why.<BR>\n" );
document.write( "The calculation<BR>\n" );
document.write( "0.05 * 145.90 = 7.295 <BR>\n" );
document.write( "gives you 5% of 145.90.<BR>\n" );
document.write( "That is 5% of the total bill, which included tax.<BR>\n" );
document.write( "However, the sales tax was 5% of the unknown amount that you have to find (the price of the sump pump).<BR>\n" );
document.write( "Let the price of the sump pump be $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "The tax would be $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.05%2Ax ALIGN=MIDDLE  ALT=\"0.05%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For a customer that must pay sales tax, the bill (in $) would be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B0.05x=%281%2B0.05%29x=1.05x ALIGN=MIDDLE  ALT=\"x%2B0.05x=%281%2B0.05%29x=1.05x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That is 105% of the price, 100% of the price for the merchant, and $5% of the price (the sales tax) for the government.<BR>\n" );
document.write( "That is how the merchant calculated (incorrectly) the bill for the tax-exempt charity.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.05x=145.90 ALIGN=MIDDLE  ALT=\"1.05x=145.90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We must solve that equation for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Dividing both sides of the equal sign by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.05 ALIGN=MIDDLE  ALT=\"1.05\"   DISABLED_style= \"max-width:90%; height:auto;\" > we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.05x=145.90 ALIGN=MIDDLE  ALT=\"1.05x=145.90\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.05x%2F1.05=145.90%2F1.05 ALIGN=MIDDLE  ALT=\"1.05x%2F1.05=145.90%2F1.05\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=138.95%29 ALIGN=MIDDLE  ALT=\"highlight%28x=138.95%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (rounding)<BR>\n" );
document.write( "The price of the pump was $138.95, and that is all that the charity should pay.<BR>\n" );
document.write( "The 5% tax on $138.95 calculates as<BR>\n" );
document.write( "0.05*($138.95)=$6.9475, which rounds to $6.95.<BR>\n" );
document.write( "The merchant added $138.95+$6.95=$145.90 to come up with the incorrect bill. </SPAN>\n" );
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