document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174529>Question 174529</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131339982/algebrahomeworkh>Algebra 2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Hi. I have tried solving this, but I am not sure if it's right and would really appreciate your help.\r<BR>\n" );
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document.write( " A hardware store mixes paints in a ratio of two parts red to six parts yellow to make pumpkin orange. A ratio of five parts red to three parts yellow makes red-pepper red. A gallon of pumpkin orange sells for $25, and a gallon of red-pepper red sells for $28.\r<BR>\n" );
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document.write( "A. Write a system of equations to model the situation (for this one i wrote <BR>\n" );
document.write( "2r+6y=25 and 5r+3y=28, but I dont know if it is correct) \r<BR>\n" );
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document.write( "B. Solve the system (I got r=31/8 and y=23/8)\r<BR>\n" );
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document.write( "C. Find the cost of 1qt of red paint and the cost of 1qt of yellow paint. Ok, this one I don't know.\r<BR>\n" );
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document.write( "I would really appreciate your help. THANKS! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #129546 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=129546\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r ALIGN=MIDDLE  ALT=\"r\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the cost per gallon of red paint<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the cost per gallon of yellow paint<BR>\n" );
document.write( "Given is:<BR>\n" );
document.write( "A hardware store mixes paints in a ratio of two parts red to six parts yellow to make pumpkin orange.<BR>\n" );
document.write( "Therefore, The gallons of red per gallon of punpkin orange is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%282+%2B+6%29 ALIGN=MIDDLE  ALT=\"2%2F%282+%2B+6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >gal<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >gal<BR>\n" );
document.write( "The gallons of yellow per gallon of pumpkin orange is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F%282+%2B+6%29 ALIGN=MIDDLE  ALT=\"6%2F%282+%2B+6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >gal<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >gal<BR>\n" );
document.write( "Therefore,<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29r+%2B+%283%2F4%29y+=+25 ALIGN=MIDDLE  ALT=\"%281%2F4%29r+%2B+%283%2F4%29y+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Also given:<BR>\n" );
document.write( "A ratio of five parts red to three parts yellow makes red-pepper red.<BR>\n" );
document.write( "The gallons of red in a gallon of red-pepper red is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F%283+%2B+5%29 ALIGN=MIDDLE  ALT=\"5%2F%283+%2B+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >gal<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F8 ALIGN=MIDDLE  ALT=\"5%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >gal<BR>\n" );
document.write( "The gallons of yellow in a gallon of red-pepper red is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F8 ALIGN=MIDDLE  ALT=\"3%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >gal<BR>\n" );
document.write( "Therefore,<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F8%29r+%2B+%283%2F8%29y+=+28 ALIGN=MIDDLE  ALT=\"%285%2F8%29r+%2B+%283%2F8%29y+=+28\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(A)<BR>\n" );
document.write( "Multiply both sides of (1) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+%2B+3y+=+100 ALIGN=MIDDLE  ALT=\"r+%2B+3y+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides of (2) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5r+%2B+3y+=+224 ALIGN=MIDDLE  ALT=\"5r+%2B+3y+=+224\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(B)<BR>\n" );
document.write( "Subtract (1) from (2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4r+=+124 ALIGN=MIDDLE  ALT=\"4r+=+124\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+31 ALIGN=MIDDLE  ALT=\"r+=+31\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute this in (1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=31+%2B+3y+=+100 ALIGN=MIDDLE  ALT=\"31+%2B+3y+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y+=+69 ALIGN=MIDDLE  ALT=\"3y+=+69\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+23 ALIGN=MIDDLE  ALT=\"y+=+23\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The cost per gallon of red paint is $31<BR>\n" );
document.write( "The cost per gallon of yellow paint is $23<BR>\n" );
document.write( "(C) There are 4 quarts in a gallon,so<BR>\n" );
document.write( "red paint is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=31%2F4+=+7.75 ALIGN=MIDDLE  ALT=\"31%2F4+=+7.75\"   DISABLED_style= \"max-width:90%; height:auto;\" >/qt<BR>\n" );
document.write( "yellow paint is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=23%2F4+=+5.75 ALIGN=MIDDLE  ALT=\"23%2F4+=+5.75\"   DISABLED_style= \"max-width:90%; height:auto;\" >/qt </SPAN>\n" );
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