document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1045753>Question 1045753</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A painter needs to use white and green paint, in the ratio of 5:2, to mix 3 1/2 gallons.  Determine amount (in quarts) of each.\r<BR>\n" );
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document.write( "3 1/2 gal. = 14 quarts (Converting to same units of measure).\r<BR>\n" );
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document.write( "The amount of white is 5/2 of the amount of green.\r<BR>\n" );
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document.write( "5x + 2x = 14\r<BR>\n" );
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document.write( "7x = 14\r<BR>\n" );
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document.write( "x = 2\r<BR>\n" );
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document.write( "5(2) + 2(2) = 14\r<BR>\n" );
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document.write( "10 + 4 = 14\r<BR>\n" );
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document.write( "Where am I correct? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #661235 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39623)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=661235\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Yes 14 quarts.\r<BR>\n" );
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document.write( "w, quarts of white paint<BR>\n" );
document.write( "g, quarts of green paint\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%2Fg=5%2F2 ALIGN=MIDDLE  ALT=\"w%2Fg=5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but be careful accounting for the total parts to make the 14 quarts.\r<BR>\n" );
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document.write( "The mixture according to ratio is 5 parts white plus 2 parts green making 5+2=7 parts PAINT MIXTURE.<BR>\n" );
document.write( "The FRACTION as white is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F7 ALIGN=MIDDLE  ALT=\"5%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The FRACTION as green is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F7 ALIGN=MIDDLE  ALT=\"2%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Look at accounting for the 14 quarts of mixture.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%2Bg=14 ALIGN=MIDDLE  ALT=\"w%2Bg=14\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "What equations do you now have so far?  The EQUATIONS!<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28w%2Fg=5%2F2%2Cw%2Bg=14%29 ALIGN=MIDDLE  ALT=\"system%28w%2Fg=5%2F2%2Cw%2Bg=14%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That's all.<BR>\n" );
document.write( "One ratio equality and one volume accounting.<BR>\n" );
document.write( "Two equations in only two unknown variables.<BR>\n" );
document.write( "This did not actually apply the \"7 parts as paint mixture\" discussion.\r<BR>\n" );
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document.write( "SOLVING THE SYSTEM<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=5g%2F2 ALIGN=MIDDLE  ALT=\"w=5g%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285g%2F2%29%2Bg=14 ALIGN=MIDDLE  ALT=\"%285g%2F2%29%2Bg=14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5g%2B2g=2%2A14 ALIGN=MIDDLE  ALT=\"5g%2B2g=2%2A14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7g=28 ALIGN=MIDDLE  ALT=\"7g=28\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g=28%2F7 ALIGN=MIDDLE  ALT=\"g=28%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28g=4%29 ALIGN=MIDDLE  ALT=\"highlight%28g=4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=5g%2F2 ALIGN=MIDDLE  ALT=\"w=5g%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=5%2A4%2F2 ALIGN=MIDDLE  ALT=\"w=5%2A4%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28w=10%29 ALIGN=MIDDLE  ALT=\"highlight%28w=10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Same results, but maybe easier to understand. </SPAN>\n" );
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