document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1197848>Question 1197848</A>: <I><SPAN STYLE=\"word-break: break-all;\"> After reducing the regular selling price by one-sixth, a store sold a television for $725. What was the<BR>\n" );
document.write( "regular selling price? </SPAN>\n" );
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document.write( "One informal solution method....<br><BR>\n" );
document.write( "The price was reduced by one-sixth, so the $725 is five sixths of the original price.<BR>\n" );
document.write( "ONE sixth is 1/5 of FIVE sixths; if five sixths of the original price was $725, then one sixth of the original price was 1/5 of $725, which is $725/5 = $145.<BR>\n" );
document.write( "So the price was reduced by $145; therefore the original price was $725+$145 = $870.<br><BR>\n" );
document.write( "And one of many formal algebraic methods....<br><BR>\n" );
document.write( "Instead of working with the \"one sixth\" that is the amount of the price reduction, work with the \"five sixths\" of the original price that remains.<br><BR>\n" );
document.write( "x = original price<br><BR>\n" );
document.write( "5/6 of the original price is $725:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F6%29x=725 ALIGN=MIDDLE  ALT=\"%285%2F6%29x=725\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "To solve for x, multiply both sides of the equation by the reciprocal, 6/5:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286%2F5%29%285%2F6%29x=%286%2F5%29725 ALIGN=MIDDLE  ALT=\"%286%2F5%29%285%2F6%29x=%286%2F5%29725\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=6%28725%2F5%29=6%28145%29=870 ALIGN=MIDDLE  ALT=\"x=6%28725%2F5%29=6%28145%29=870\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: The original price was x = $870<br><BR>\n" );
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