document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201398>Question 1201398</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jennifer, Grace, and Janet played Computer games. Jennifer won 30% of the total games, Grace 25%, and Janet 45%. There were no ties. What is the least possible number of the games that Jennifer won? </SPAN>\n" );
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document.write( "The percentages add to 100%, so let's say 100 games total had been played.\r<BR>\n" );
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document.write( "Each percentage corresponds to the whole number value shown here<ul><li>Jennifer won 30 games</li><li>Grace won 25 games</li><li>Janet won 45 games</li></ul>Simply erase the percent sign.\r<BR>\n" );
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document.write( "Divide each value over 100 and reduce the fraction.<ul><li>Jennifer: 30/100 = (10*3)/(10*10) = 3/10</li><li>Grace: 25/100 = (25*1)/(25*4) = 1/4</li><li>Janet: 45/100 = (5*9)/(5*20) = 9/20</li></ul>The reduced fractions are<BR>\n" );
document.write( "3/10, 1/4, 9/20\r<BR>\n" );
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document.write( "The LCD is 20, so let's rewrite each denominator in terms of the LCD<ul><li>Jennifer: 3/10 = (3*2)/(10*2) = <font color=red>6</font>/20</li><li>Grace: 1/4 = (1*5)/(4*5) = 5/20</li><li>Janet: 9/20 = 9/20</li></ul>If 20 games were played, then,<ul><li>Jennifer won <font color=red>6</font>/20 of those games. <font color=red>She won 6 games</font>.</li><li>Grace won 5/20 of those games. She won 5 games.</li><li>Janet won 9/20 of those games. She won 9 games.</li></ul>This scenario represents the fewest number of games played.<BR>\n" );
document.write( "This is because the nature of the LCD is to go for the lowest denominator, i.e. lowest number of games in this case.\r<BR>\n" );
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document.write( "Answer: <font color=red size=4>6</font>\r<BR>\n" );
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document.write( "This method is probably a bit more convoluted, so it might be more effective to use another route. <BR>\n" );
document.write( "But it's always a good idea to have multiple pathways.<BR>\n" );
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