Algebra.Com's Answer #814682 by ikleyn(52778)![\"\"](\"/images/stars/stars-13.gif\")  
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document.write( "Kathleen had some money at first. She spent 1/5 of it on a watch and 2/3 of it on a handbag.
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document.write( "After that, her grandparents gave her $171. The ratio of the total amount of money she had at the end
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document.write( "to the amount of money she had at first was 7:5. How much money did Kathleen have at first?
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document.write( "Let x be the amount she had at first.\r\n" );
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document.write( "Then at the end she had x -  -  + 171 = x -  -  + 171 =  + 171.\r\n" );
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document.write( "Your equation is \r\n" );
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document.write( "  =  .\r\n" );
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document.write( "Cross multiply, simplify and find x\r\n" );
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document.write( "  = 7x\r\n" );
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document.write( "  = 7x\r\n" );
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document.write( " 10x + 15*5*171= 7*15*x\r\n" );
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document.write( " 15*5*171 = 7*15x - 10x\r\n" );
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document.write( " 15*5*171 = 95x\r\n" );
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document.write( " x =  = 135.\r\n" );
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document.write( "ANSWER. At first, Kathleen had 135 dollars.\r\n" );
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document.write( "Solved.\r
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