document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=670769>Question 670769</A>: <I><SPAN STYLE=\"word-break: break-all;\"> fractions in a word problem help!<BR>\n" );
document.write( "At the market i bought plums, peaches, and pears. i bought twice as many peaches as pears and 4 1/2 times as many plums as pears. in all, i bought 45 pieces of fruit. how many of each did i buy?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #417225 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=417225\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> At the market i bought plums, peaches, and pears.<BR>\n" );
document.write( " i bought twice as many peaches as pears and 4 1/2 times as many plums as pears. in all, i bought 45 pieces of fruit. how many of each did i buy?<BR>\n" );
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document.write( "let a = no. of plums<BR>\n" );
document.write( "let b = no. of peaches<BR>\n" );
document.write( "let c = no. of pears<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
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document.write( "\" bought twice as many peaches as pears\"<BR>\n" );
document.write( "b = 2c<BR>\n" );
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document.write( "\" and 4 1/2 times as many plums as pears.\"<BR>\n" );
document.write( "a = 4.5c<BR>\n" );
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document.write( "\"in all, i bought 45 pieces of fruit.\"<BR>\n" );
document.write( "a + b + c = 45<BR>\n" );
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document.write( "Replace a with 4.5c, replace b with 2c<BR>\n" );
document.write( "4.5c + 2c + c = 45<BR>\n" );
document.write( "7.5c = 45<BR>\n" );
document.write( "c = 45/7.5<BR>\n" );
document.write( "c = 6 pears<BR>\n" );
document.write( "then<BR>\n" );
document.write( "b = 2(6) = 12 peaches<BR>\n" );
document.write( "and<BR>\n" );
document.write( "a = 4.5(6) = 27 plums<BR>\n" );
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document.write( "Check this: 27 + 12 + 6 = 45\r<BR>\n" );
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