Algebra.Com's Answer #815026 by ikleyn(52799)![\"\"](\"/images/stars/stars-13.gif\")  
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document.write( "Henry spent 1/4 of his money and an additional $3 on a number of DVDs.
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document.write( "He then spent 3/5 of the remaining money and an additional $6 on a number of batteries.
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document.write( "Given that he was left with $24, how much money did Henry have at first?
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document.write( " It is a nice problem to be solved backward and explained accordingly.\r
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document.write( "First, let x be the remainder money amount after buying a number of DVDs.\r\n" );
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document.write( "Then for this amount of money you have this equation\r\n" );
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document.write( " x -  = 24. (1)\r\n" );
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document.write( "To solve it, multiply everything in equation (1) by 5 to get\r\n" );
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document.write( " 5x - (3x + 30) = 24*5\r\n" );
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document.write( " 5x - 3x = 24*5 + 30\r\n" );
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document.write( " 2x = 120 + 30 = 150\r\n" );
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document.write( " x = 150/2 = 75.\r\n" );
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document.write( "Thus you found that after buying a number of DVDs, the remainder was 75 dollars.\r\n" );
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document.write( "OK. It gives you NEXT EQUATION from the first part of the problem \r\n" );
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document.write( " M -  = 75 (2)\r\n" );
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document.write( "where M is the unknown money amount Henry had at first.\r\n" );
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document.write( "From this equation, you get\r\n" );
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document.write( "  = 75 + 3 = 78,\r\n" );
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document.write( " M =  = 26*4 = 104.\r\n" );
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document.write( "ANSWER. At first, Henry had $104.\r\n" );
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document.write( "Solved and thoroughly explained.\r
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document.write( "Check my answer on your own.\r
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