document.write( "Question 1184464: Timothy spent 3/5 of his money on 6 bolsters and 10 pillows. He spent 1/3 of his remaining money on 8 more pillows. Each bolster cost $30 more than a pillow. How much money did Timothy have at first? \n" ); document.write( "

Algebra.Com's Answer #815064 by ikleyn(52914) $\"\"$ $\"About$

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\n" ); document.write( "Timothy spent 3/5 of his money on 6 bolsters and 10 pillows.
\n" ); document.write( "He spent 1/3 of his remaining money on 8 more pillows.
\n" ); document.write( "Each bolster cost $30 more than a pillow.
\n" ); document.write( "How much money did Timothy have at first?
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document.write( "Let b = price for a bolster; p = price for a pillow and M = \"How much money did Timothy have at first\".\r\n" );
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document.write( "From the first and the third statements of the problem, we have these equations\r\n" );
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document.write( "    6b + 10p =        (1)\r\n" );
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document.write( "     b = p + 30             (2)\r\n" );
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document.write( "Substitute (2) into (1).  You will get\r\n" );
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document.write( "    6(p+30) + 10p = ,\r\n" );
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document.write( "or\r\n" );
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document.write( "       16p        =  - 180.      (3)\r\n" );
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document.write( "From the second statement of the problem,  \r\n" );
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document.write( "        8p   = ,          \r\n" );
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document.write( "or\r\n" );
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document.write( "        8p   = .                (4)\r\n" );
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document.write( "From (4) and (3), you get this equation for M\r\n" );
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document.write( "        =  - 180.\r\n" );
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document.write( "It implies\r\n" );
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document.write( "        -  = 180\r\n" );
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document.write( "        -  = 180\r\n" );
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document.write( "        = 180\r\n" );
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document.write( "        = 180\r\n" );
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document.write( "          M = 180*3 = 540.\r\n" );
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document.write( "ANSWER.  Timothy had $540 dollars, at first.\r\n" );
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\n" ); document.write( "\n" ); document.write( "The problem can be solved in different ways, including the ways of using two or three unknowns.\r
\n" ); document.write( "\n" ); document.write( "My goal in this post was to reduce the problem to one single equation for one unknown M .\r
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