document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=103106>Question 103106</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Don runs a charity fruit sale, selling boxes of oranges for $11 and boxes of grapefruit for $10. If he sold a total of 762 boxes and his total income was $8125, how many boxes of oranges did he sell.\r<BR>\n" );
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document.write( "X= boxes of oranges   y=boxes of grapefruit<BR>\n" );
document.write( "$11x+10y=$8125\r<BR>\n" );
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document.write( "this is as far as I've gotten in attempting 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 #75043 by </B><A HREF=/tutors/aboutme.mpl?userid=doukungfoo><B>doukungfoo(195)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=doukungfoo><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=doukungfoo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=75043\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> So far so good.<BR>\n" );
document.write( "You have the first equation set up correctly:<BR>\n" );
document.write( "11x+10y=8125<BR>\n" );
document.write( "Now we need to write another equation from the given information.<BR>\n" );
document.write( "Given: Don sold a total of 762 boxes.<BR>\n" );
document.write( "So if x = boxes of oranges<BR>\n" );
document.write( "and y = boxes of grapefruit<BR>\n" );
document.write( "then<BR>\n" );
document.write( "x + y = 762<BR>\n" );
document.write( "Now we have a system of equations that we can use to solve for x and y<BR>\n" );
document.write( "First equation: 11x + 10y = 8125<BR>\n" );
document.write( "Second equation: x + y = 762<BR>\n" );
document.write( "Set the the second equation equal to x<BR>\n" );
document.write( "x + y = 762<BR>\n" );
document.write( "x = 762 - y<BR>\n" );
document.write( "Now that we have x equal to 762-y we can subsitute that into the first equation and solve for y<BR>\n" );
document.write( "11x + 10y = 8125<BR>\n" );
document.write( "11(762-y) + 10y = 8125<BR>\n" );
document.write( "8382 - 11y + 10y = 8125<BR>\n" );
document.write( "8382 - y = 8125<BR>\n" );
document.write( "-y = -257<BR>\n" );
document.write( "y = 257<BR>\n" );
document.write( "<b>Answer: Don sold 257 boxes of grapefruit</b><BR>\n" );
document.write( "Now use this to find the number of orange boxes sold<BR>\n" );
document.write( "x + y = 762<BR>\n" );
document.write( "x + 257 = 762<BR>\n" );
document.write( "x = 505<BR>\n" );
document.write( "<b>Answer: Don sold 505 boxes of oranges</b><BR>\n" );
document.write( "Check both answers in both equations<BR>\n" );
document.write( "first equation:<BR>\n" );
document.write( "11x + 10y = 8125<BR>\n" );
document.write( "11(505) + 10(257) = 8125<BR>\n" );
document.write( "5555 + 2570 = 8125<BR>\n" );
document.write( "8125 = 8125<BR>\n" );
document.write( "Good that works now try the second equation<BR>\n" );
document.write( "x + y = 762<BR>\n" );
document.write( "505 + 257 = 762<BR>\n" );
document.write( "762 = 762<BR>\n" );
document.write( "that works too so we know that we have correctly solved this problem.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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