document.write( "Question 1148436: Hi
\n" ); document.write( "at first the ratio of bob and teds money was 5 to 2 . After each of them spent an equal amount the ratio of bob to teds became 6 to 1 . In the end they had a total 126 dollars. How much did they spend together. \r
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Algebra.Com's Answer #769790 by ikleyn(52794) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "From the condition, Bob and Ted had initially  5x and 2x dollars, respectively.\r\n" );
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document.write( "Then each of them spent equal amount of \"y\" dollars.\r\n" );
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document.write( "After that, they  possessed  5x-y  and  2x-y dollars respectively, and  \r\n" );
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document.write( "     =  = 6,\r\n" );
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document.write( "so\r\n" );
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document.write( "    5x-y = 6*(2x-y),\r\n" );
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document.write( "    5x - y = 12x - 6y\r\n" );
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document.write( "     5y = 7x.            (1)\r\n" );
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document.write( "Also, we are given that\r\n" );
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document.write( "    (5x-y) + (2x-y) = 126  dollars,   or\r\n" );
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document.write( "     7x - 2y = 126.      (2)\r\n" );
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document.write( "In (2), replace  7x  by  5y, based on (1).  You will get\r\n" );
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document.write( "    5y - 2y = 126,\r\n" );
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document.write( "    3y      = 126\r\n" );
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document.write( "     y      = 126/3 = 42.\r\n" );
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document.write( "Then from (1),  x =  =  = 5*6 = 30.\r\n" );
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document.write( "ANSWER.  Initially, they had  5x + 2x = 7x = 7*30 = 210 dollars.   \r\n" );
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