Algebra.Com's Answer #796228 by ikleyn(52776)![\"\"](\"/images/stars/stars-13.gif\")  
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document.write( "Hi May spent 1/6 of her money on a dress and 2 blouses. The dress costs as much as 3 blouses.
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document.write( "She spends 3/4 of the remaining money on a watch. The watch costs $220.50 more than the dress.
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document.write( "How much did she have at first.
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document.write( " Ignore the post by @gosgarithmetic, since his setup is INCORRECT.\r
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document.write( "Let x = How much she had at first (dollars).\r\n" );
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document.write( "She first spent 1/6 of her money - so,  of her amount remained.\r\n" );
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document.write( "Taking into account that the dress costs as much as 3 blouses, we can write the system of equations in this form\r\n" );
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document.write( "  = 3B + 2B (1)\r\n" );
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document.write( "  = 3B + 220.50 (2)\r\n" );
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document.write( "Simplify\r\n" );
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document.write( " = 5B (3)\r\n" );
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document.write( "  = 3B + 220.50 (4)\r\n" );
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document.write( "Multiply equation (3) by 6 (both sides). Multiply equation (4) by 24 (both sides). You will get\r\n" );
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document.write( " x = 30*B (5)\r\n" );
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document.write( " 15x = 72B + 5292 (6)\r\n" );
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document.write( "From (5), substitute the expression for x into (6). You will get\r\n" );
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document.write( " 15*30*B = 72*B + 5292\r\n" );
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document.write( " 450*B - 72*B = 5292\r\n" );
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document.write( " 378*B = 5292\r\n" );
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document.write( " B = 5292/378 = 14.\r\n" );
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document.write( "Then from (5) we get the FINAL ANSWER: \r\n" );
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document.write( " x = 30*14 = 420 dollars.\r\n" );
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document.write( "ANSWER. She had originally 420 dollars.\r\n" );
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document.write( "Solved.\r
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