document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1164369>Question 1164369</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sandy had some apples and Pears. After selling 1/3 of the apples and 7 pears, the number of pears left was a quarter of the number of apples left. If the number of pears sold was 1/6 the number of the pears that were not sold, how many pears did Sandy have at first?? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #788754 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=788754\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sandy had x apples and y pears.<BR>\n" );
document.write( "x = number of apples.<BR>\n" );
document.write( "y = number of pears.\r<BR>\n" );
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document.write( "she sold 1/3 * x apples and 7 pears.<BR>\n" );
document.write( "she had 2/3 * x apples and y - 7 pears left.\r<BR>\n" );
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document.write( "the number of pears that were left was 1/4 of the number of apples that were left.<BR>\n" );
document.write( "y - 7 = 1/4 * 2/3 * x = 1/6 * x\r<BR>\n" );
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document.write( "the number of pears sold was 1/6 * the number of pears that were not sold.<BR>\n" );
document.write( "7 = 1/6 * 1/6 * x = 1/36 * x<BR>\n" );
document.write( "solve for x to get x = 7 * 36 = 252.<BR>\n" );
document.write( "you have:<BR>\n" );
document.write( "x = 252\r<BR>\n" );
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document.write( "since the number of pears that were not sold is equal to 1/6 * x, then the number of pears not sold is equal to 1/6 * 252 = 42<BR>\n" );
document.write( "you have y - 7 = 42<BR>\n" );
document.write( "solve for y to get y = 42 + 7 = 49<BR>\n" );
document.write( "you have:<BR>\n" );
document.write( "y = 49\r<BR>\n" );
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document.write( "x = 252 and y = 49 means she had 252 apples at first and 49 pears at first.\r<BR>\n" );
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document.write( "to confirm, go through the problem again with 252 apples and 49 pears.<BR>\n" );
document.write( "she sold 1/3 of the apples and 7 of the pears.<BR>\n" );
document.write( "that means she sold 84 apples and 7 pears.<BR>\n" );
document.write( "252 - 84 = 168 apples left.<BR>\n" );
document.write( "49 - 2 = 42 pears left.<BR>\n" );
document.write( "the number of pears left was 1/4 of the number of apples left.<BR>\n" );
document.write( "42 = 1/4 * 168 becomes 42 = 42, confirming this is correct.<BR>\n" );
document.write( "the number of pears sold was 1/6 times the number of pears that were not sold.<BR>\n" );
document.write( "7 pears were sold.<BR>\n" );
document.write( "1/6 * 42 = 7, confirming this is correct.\r<BR>\n" );
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document.write( "the solution looks good.<BR>\n" );
document.write( "the solution is that she had 49 pears at first.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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