document.write( "Question 104887: Fifteen days after Alan began a diet he weighed 176 lb. After 45 days he weighed 170 lbs\r
\n" ); document.write( "\n" ); document.write( "a) how much did he weigh at the beginning of the diet?\r
\n" ); document.write( "\n" ); document.write( "b) At this rate, when will he weigh 165 lb?
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Algebra.Com's Answer #76317 by HyperBrain(694)\"\" \"About 
You can put this solution on YOUR website!
Let x=the rate that the diet eliminates the fat(weight)
\n" ); document.write( " y=his original weight\r
\n" ); document.write( "\n" ); document.write( "After 15 days, he has lost 15x lb
\n" ); document.write( "__________________________________\"y-15x=176\"_______________________________
\n" ); document.write( "______________________________________\"y=15x%2B176\"___________________________\r
\n" ); document.write( "\n" ); document.write( "After 45 days, he lost 45x lb
\n" ); document.write( "___________________________________\"y-45x=170\"______________________________
\n" ); document.write( "_______________________________________\"y=45x%2B176\"__________________________\r
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\n" ); document.write( "\n" ); document.write( "If \"y=45x%2B170\" and \"y=15x%2B176\", then\r
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\n" ); document.write( "\n" ); document.write( "\"45x%2B170=15x%2B176\"
\n" ); document.write( "\"45x-15x%2B170=15x-15x%2B176\"
\n" ); document.write( "\"30x%2B170=176\"
\n" ); document.write( "\"30x%2B170-170=176-170\"
\n" ); document.write( "\"30x=6\"
\n" ); document.write( "\"x=6%2F30++or++1%2F5\"\r
\n" ); document.write( "\n" ); document.write( "This means that he loses 1/5 of a pound each day!!! What a diet!\r
\n" ); document.write( "\n" ); document.write( "But,
\n" ); document.write( "____________________________\"y=45x%2B170\"____________________________________\r
\n" ); document.write( "\n" ); document.write( "And,
\n" ); document.write( "_______________________________\"x=1%2F5\"_____________________________________\r
\n" ); document.write( "\n" ); document.write( "Thus,
\n" ); document.write( "____________________________\"y=45%281%2F5%29%2B170\"_________________________________
\n" ); document.write( "____________________________\"y=9%2B170=179\"!!_________________________________\r
\n" ); document.write( "\n" ); document.write( "He weighed a whopping 179 lb at the beginning!\r
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\n" ); document.write( "\n" ); document.write( "NOw,let z=the no. of days required for him to be 165 pounds heavy.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "After z days, he will lose x*z pounds.\r
\n" ); document.write( "\n" ); document.write( "___________________________\"179-z%2F5=165\"____________________________________\r
\n" ); document.write( "\n" ); document.write( "NOTE: I have subsituted x=1/5 and y= 179 already to avoid confusion about the three variables.\r
\n" ); document.write( "\n" ); document.write( "Continuing,\r
\n" ); document.write( "\n" ); document.write( "__________________________\"5%2A%28179-z%2F5%29=5%2A165\"_______________________________
\n" ); document.write( "________________________________\"895-z=825\"_________________________________
\n" ); document.write( "____________________________________\"z=895-825=70\"!!!\r
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\n" ); document.write( "\n" ); document.write( "He will wait for 70 days to be 165 lb!!!\r
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\n" ); document.write( "\n" ); document.write( "Poer up,
\n" ); document.write( "HyperBrain!
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