document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206653>Question 1206653</A>: <I><SPAN STYLE=\"word-break: break-all;\"> gavin spent 3/5 of his money on the first week and 1/3 of the remainder on the second week. he spent $110 dollars altogether. how much money did he have left? </SPAN>\n" );
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document.write( "Draw 5 rectangles placed side by side.<BR>\n" );
document.write( "Shade 3 of them to represent Gavin spending 3/5 of his initial money.<BR>\n" );
document.write( "Refer to figure 1 shown below.<BR>\n" );
document.write( "The remaining 2/5 is what he has leftover (before spending the next round of money).\r<BR>\n" );
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document.write( "Then draw in 2 horizontal lines to divide those 5 blocks into 3*5 = 15 blocks. Shade the top row, of the 3 rows, to represent Gavin spending 1/3 of what he has left.<BR>\n" );
document.write( "Refer to figure 2.<BR>\n" );
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document.write( "How many small blocks are shaded?<BR>\n" );
document.write( "There's 3 full columns shaded in the first round. <BR>\n" );
document.write( "Each column has 3 small blocks so that's 3*3 = 9 small blocks so far.<BR>\n" );
document.write( "Then we have 2 more small blocks when Gavin moves to the next round of spending.<BR>\n" );
document.write( "There are 9+2 = 11 small blocks shaded out of 15 total.\r<BR>\n" );
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document.write( "That means Gavin spent 11/15 of his initial money.<BR>\n" );
document.write( "Another way to reach this fraction is to compute 3/5 + (1/3)*(2/5)\r<BR>\n" );
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document.write( "x = how much money he starts with<BR>\n" );
document.write( "(11/15)*x = 110 = how much money in total is spent<BR>\n" );
document.write( "x = 110*(15/11)<BR>\n" );
document.write( "x = 150<BR>\n" );
document.write( "Gavin started with $150 and spent $110.<BR>\n" );
document.write( "He has $40 left since 150-110 = 40.\r<BR>\n" );
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document.write( "Alternative route:<BR>\n" );
document.write( "He spent 11/15 of his money and saves the remaining 4/15<BR>\n" );
document.write( "(4/15)*150 = 40\r<BR>\n" );
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document.write( "Answer: <font color=red size=4>$40</font><BR>\n" );
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