document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1144692>Question 1144692</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A woman went with her husband to a local casino one evening. They were both very lucky. the husband started with $30 and tripled his money every hour for four hours. His wife also tripled her money every hour, but left after 3 hours. If they both went home with the same amount of money, how much money did the woman start with. </SPAN>\n" );
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document.write( "(1) Using logical reasoning....<br><BR>\n" );
document.write( "The husband started with $30 and tripled his money 4 times.<BR>\n" );
document.write( "The wife finished with the same amount as her husband but tripled her money only 3 times.<BR>\n" );
document.write( "Since she finished with the same amount but tripled her money one time less, she must have started with 3 times as much.<br><BR>\n" );
document.write( "ANSWER: $90<br><BR>\n" );
document.write( "(2) Using formal algebra....<br><BR>\n" );
document.write( "The man started with 30 and finished with 30*(3^4).<BR>\n" );
document.write( "The woman started with x and finished with x*(3^3).<BR>\n" );
document.write( "They finished with the same amount:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2A3%5E4+=+x%2A3%5E3 ALIGN=MIDDLE  ALT=\"30%2A3%5E4+=+x%2A3%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2830%2A3%5E4%29%2F%283%5E3%29+=+30%2A3+=+90 ALIGN=MIDDLE  ALT=\"x+=+%2830%2A3%5E4%29%2F%283%5E3%29+=+30%2A3+=+90\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );