document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193370>Question 1193370</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "There were 108 fruits in a box. Bob gave away 3/8 of the oranges 1/3 of the pears and doubled the number of apples in the box. He then had an equal number of oranges pears and apples left in the box. How many apples did he add.\r<BR>\n" );
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document.write( "Thanks<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #825380 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=825380\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "o = original number of oranges<BR>\n" );
document.write( "p = original number of pears<BR>\n" );
document.write( "a = original number of apples<br><BR>\n" );
document.write( "The original number of fruits was 108:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=o%2Bp%2Ba+=+108 ALIGN=MIDDLE  ALT=\"o%2Bp%2Ba+=+108\"   DISABLED_style= \"max-width:90%; height:auto;\" > [1]<br><BR>\n" );
document.write( "After he gave away 3/8 of the oranges and 1/3 of the pears and doubled the number of apples, the numbers of the different fruits were<br><BR>\n" );
document.write( "oranges: (5/8)o<BR>\n" );
document.write( "pears: (2/3)p<BR>\n" );
document.write( "apples: 2a<br><BR>\n" );
document.write( "The numbers of fruits were now all the same:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F8%29o+=+%282%2F3%29p+=+2a ALIGN=MIDDLE  ALT=\"%285%2F8%29o+=+%282%2F3%29p+=+2a\"   DISABLED_style= \"max-width:90%; height:auto;\" > [2]<br><BR>\n" );
document.write( "Use [2] to express the numbers of all three types of fruit using a single variable...<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F8%29o=2a ALIGN=MIDDLE  ALT=\"%285%2F8%29o=2a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=o=%288%2F5%29%282a%29=%2816%2F5%29a ALIGN=MIDDLE  ALT=\"o=%288%2F5%29%282a%29=%2816%2F5%29a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29p=2a ALIGN=MIDDLE  ALT=\"%282%2F3%29p=2a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=%283%2F2%29%282a%29=3a ALIGN=MIDDLE  ALT=\"p=%283%2F2%29%282a%29=3a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "... and substitute in [1] to solve the problem.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2816%2F5%29a%2B3a%2Ba=108 ALIGN=MIDDLE  ALT=\"%2816%2F5%29a%2B3a%2Ba=108\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2836%2F5%29a=108 ALIGN=MIDDLE  ALT=\"%2836%2F5%29a=108\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=%285%2F36%29108=5%283%29=15 ALIGN=MIDDLE  ALT=\"a=%285%2F36%29108=5%283%29=15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( "original number of apples = a = 15<BR>\n" );
document.write( "original number of pears = 3a = 45<BR>\n" );
document.write( "original number of oranges = (16/5)a=48<BR>\n" );
document.write( "15+45+48=108<br><BR>\n" );
document.write( "He started with a=15 apples and finished with 2a=30 apples; the number of apples he added was 15.<br><BR>\n" );
document.write( "ANSWER: He added 15 apples<br>\r<BR>\n" );
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