document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202283>Question 1202283</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Peaches were $7 a bushel and apples were $6 a bushel. Harry sold $346 worth and sold 29 more bushels of peaches than apples. How many bushels of each did he sell? </SPAN>\n" );
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document.write( "While the problem was probably supposed to be solved using formal algebra, note that you can get good mental exercise by solving the problem informally, using logical reasoning and mental arithmetic.<br><BR>\n" );
document.write( "The 29 \"extra\" bushels of peaches cost 29($7) = $203.<BR>\n" );
document.write( "The remaining $346-$203 = $143 was the cost of equal numbers of bushes of peaches and apples.<BR>\n" );
document.write( "The cost of one bushel each of peaches and apples was $13.<BR>\n" );
document.write( "$143/$13 = 11, so the purchase after the \"extra\" bushels of peaches consisted of 11 bushels each of peaches and apples.<BR>\n" );
document.write( "So the number of bushels of apples he sold was 11, and the number of bushels of peaches he sold was 11+29 = 40.<br><BR>\n" );
document.write( "ANSWER: 11 bushels of apples and 40 bushels of peaches<br><BR>\n" );
document.write( "CHECK: 11($6)+40($7) = $66+$280 = $346<br><BR>\n" );
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