document.write( "Question 1162073: Hello, \r
\n" ); document.write( "\n" ); document.write( "Yasmin has some money. She spends $180 on a TV. She spends 3/10 of the remainder on a new printer. She has 2/5 of the money left at the end. How much money did Yasmin have at the start\r
\n" ); document.write( "\n" ); document.write( "I am working backwards
\n" ); document.write( "3/5=.6
\n" ); document.write( "7/10=.7
\n" ); document.write( " .6 * .7 = .42
\n" ); document.write( "180/.42=428.57\r
\n" ); document.write( "\n" ); document.write( "The correct answer is $420.
\n" ); document.write( "I don’t know where I’m going wrong.\r
\n" ); document.write( "\n" ); document.write( "How would I setup the equation and solve.\r
\n" ); document.write( "\n" ); document.write( "Thanks in advance\r
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Algebra.Com's Answer #785779 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Let x be the amount she had at the start.\r\n" );
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document.write( "After buying the TV, the remainder is  (x-180)  dollars.\r\n" );
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document.write( "  of this remainder, i.e.   0.3*(x-180)  dollars, was spent for a new printer.\r\n" );
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document.write( "The new remainder is  0.7*(x-180).\r\n" );
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document.write( "It is equal to  x = 0.4x.\r\n" );
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document.write( "So, your equation is\r\n" );
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document.write( "    0.4x = 0.7*(x-180).\r\n" );
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document.write( "Simplify ans solve\r\n" );
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document.write( "    0.4x = 0.7x - 0.7*180\r\n" );
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document.write( "    0.7*180 = 0.7x - 0.4x\r\n" );
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document.write( "    0.7*180 = 0.3x\r\n" );
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document.write( "    x =  =  = 7*60 = 420.\r\n" );
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document.write( "ANSWER.  She had 420 dollars at the start.\r\n" );
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