document.write( "Question 1206129: Hi
\n" ); document.write( "Haresh gave 1/6 of his money to Jane. He spent $8 less than 1/3 of the remaining money on books. Haresh had $68 left. How much did he have at first.
\n" ); document.write( "My son solved it by working backwards, can you show how to solve it algebraically. \r
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Algebra.Com's Answer #843369 by ikleyn(52781)\"\" \"About 
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\n" ); document.write( "Haresh gave 1/6 of his money to Jane. He spent $8 less than 1/3 of the remaining money on books.
\n" ); document.write( "Haresh had $68 left. How much did he have at first.
\n" ); document.write( "My son solved it by working backwards, can you show how to solve it algebraically.
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document.write( "Let x be the amount Haresh had at first.\r\n" );
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document.write( "After Haresh gave 1/6 of his money to Jane, his remaining amount is \"5x%2F6\".\r\n" );
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document.write( "He spent on books \"%281%2F3%29%2A%28%285x%29%2F6%29%29-8\" = \"%285x%2F18%29-8\".\r\n" );
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document.write( "After that, his remaining money is \"%285x%29%2F6\" - \"%28%285x%29%2F18+-8%29\" = \"%2810x%29%2F18+%2B+8\".\r\n" );
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document.write( "This amount is 68 dollars.  So, the equation is\r\n" );
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document.write( "    \"%2810x%29%2F18+%2B+8\" = 68.\r\n" );
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document.write( "To solve, multiply all the terms by 18\r\n" );
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document.write( "   10x + 8*18 = 18*68\r\n" );
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document.write( "   10x       = 18*68-8*18\r\n" );
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document.write( "   10x       = 1080\r\n" );
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document.write( "     x       = 1080/10 = 108.\r\n" );
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document.write( "ANSWER.  Haresh had $108 at first.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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