document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=475145>Question 475145</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This question read: Without knowing sales tax, find tax on $1500, if tax on $350 is $28. Use proportion to explain. Give real life example of a ratio and a rate. Then explain the difference of each. Why is one a rate and the other a ratio?<BR>\n" );
document.write( " Describe steps involved to solve the problem </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #325794 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=325794\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you want to find the tax on 1500.<BR>\n" );
document.write( "tax on 350 is 28 dollars.<BR>\n" );
document.write( "rate of tax on 350 is 28/350 = .08 <BR>\n" );
document.write( "apply this rate to 1500 and you get .08 * 1500 = 120.<BR>\n" );
document.write( "I found the rate and then applied it.<BR>\n" );
document.write( "If I did it another way, then I would be taking the ratio and applying it.<BR>\n" );
document.write( "The other way would be done as follows:<BR>\n" );
document.write( "28/350 = x/1500<BR>\n" );
document.write( "Now this is a ratio and not a rate since I don't know the rate because I didn't solve for it.<BR>\n" );
document.write( "I multiply both sides of this equation by 1500 to get:<BR>\n" );
document.write( "x = 28/350 * 1500 = 120.<BR>\n" );
document.write( "I get the same tax.<BR>\n" );
document.write( "In the first case, I solved for the rate and then applied the rate to $1500 in order to get the tax of $120.<BR>\n" );
document.write( "In the second case, I applied the ratio of 28 is to 350 as x is to 1500 in order to derive the tax.<BR>\n" );
document.write( "It's a technicality.<BR>\n" );
document.write( "In the first case I knew what the rate was because I solved for it.<BR>\n" );
document.write( "In the second case I didn't know what the rate was but applied the ratio to find the tax.<BR>\n" );
document.write( "Note that in the second case I didn't know what the rate was even though the ratio of 28/350 could have been used to solve for the rate if I wanted to find out what that was first.\r<BR>\n" );
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