document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=152763>Question 152763</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Linear System Word Problems\r<BR>\n" );
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document.write( "Please help me figure this out.  <BR>\n" );
document.write( "The cost of 12 oranges and 7 apples is $5.36.  Eight oranges and 5 apples cost $3.68.  Find the cost of each orange and each apple.\r<BR>\n" );
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document.write( "Thank you <BR>\n" );
document.write( "Ryan </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #112290 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=112290\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The cost of 12 oranges and 7 apples is $5.36. Eight oranges and 5 apples cost $3.68. Find the cost of each orange and each apple.<BR>\n" );
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document.write( "Write an equation for each transaction; o=cost of ea orange; a=cost of each apple<BR>\n" );
document.write( "12o + 7a = 5.36<BR>\n" );
document.write( " 8o + 5a = 3.68<BR>\n" );
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document.write( "Multiply the 2nd equation by 1.5 and subtract the 1st equation from it:<BR>\n" );
document.write( "12o + 7.5a = 5.52<BR>\n" );
document.write( "12o +  7a  = 5.36<BR>\n" );
document.write( "-------------------Subtraction eliminates o, find a<BR>\n" );
document.write( "0o + .5a =   0.16<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.16%2F.5 ALIGN=MIDDLE  ALT=\".16%2F.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = .32 for each apple<BR>\n" );
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document.write( "Find o using eq: 8o + 5a = 3.68<BR>\n" );
document.write( "8o + 5(.32) = 3.68<BR>\n" );
document.write( "8o + 1.6 = 3.68<BR>\n" );
document.write( "8o = 3.68 - 1.60<BR>\n" );
document.write( "8o = 2.08<BR>\n" );
document.write( "o = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.08%2F8 ALIGN=MIDDLE  ALT=\"2.08%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "o = .26 for each orange<BR>\n" );
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document.write( "Check solution in the 1st equation:<BR>\n" );
document.write( "12(.26) + 7(.32) =<BR>\n" );
document.write( "3.12 + 2.24 = 5.36; confirms our solution </SPAN>\n" );
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