document.write( "Question 1206119: Hi
\n" ); document.write( "Haresh gave 40% of his money and an additional $5 to Bob. He gave 75% of his remaining money and an additional $6 to Karen. The amount of money haresh had at the end was $44 less than what he gave to Karen. Find the amount haresh gave to Bob.
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Algebra.Com's Answer #843373 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Haresh gave 40% of his money and an additional $5 to Bob.
\n" ); document.write( "He gave 75% of his remaining money and an additional $6 to Karen.
\n" ); document.write( "The amount of money Haresh had at the end was $44 less than what he gave to Karen.
\n" ); document.write( "Find the amount Haresh gave to Bob.
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document.write( "Let x be the Haresh's initial amount of money, in dollars.\r\n" );
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document.write( "After Haresh gave 40% of his money and an additional $5 to Bob, Haresh's remaining money \r\n" );
document.write( "was  (0.6x-5)  dollars.\r\n" );
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document.write( "Then Haresh gave 0.75 of the remaining money and additional $6 to karen;\r\n" );
document.write( "so Haresh gave to Karen 0.75*(0.6x-5) + 6 = 0.45x + 2.25 dollars.\r\n" );
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document.write( "After that, the amount of money Haresh had at the end was\r\n" );
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document.write( "    (0.6x-5) - ((0.45x+2.25) = 0.15x - 7.25  dollars.\r\n" );
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document.write( "It is $44 less than 0.45x + 2.25;  so we write this equation\r\n" );
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document.write( "    0.15x - 7.25 = 0.45x + 2.25 - 44.\r\n" );
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document.write( "    +-------------------------------------------+\r\n" );
document.write( "    |   At this point, the setup is complete.   |\r\n" );
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document.write( "Now simplify the equation and find x\r\n" );
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document.write( "    44 - 2.25 - 7.25 = 0.45x - 0.15x\r\n" );
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document.write( "          34.5         =    0.3x\r\n" );
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document.write( "             x         =   = 115.\r\n" );
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document.write( "Thus Haresh had $115 initially.\r\n" );
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document.write( "Hence, the amount he gave to Bob was 0.4*115 + 5 = 51 dollar.\r\n" );
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document.write( "ANSWER.  The amount Haresh gave to Bob was 51 dollar.\r\n" );
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\n" ); document.write( "\n" ); document.write( "I am 179% sure that using one unknown
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