document.write( "Question 1152295: Alice, Bob, and Mary completed a project and were paid $25,000. Before the project started, they agreed that Alice should be paid $1000 less than twice Mary’s share and Bob should be paid $2000 more than Mary’s share. How much did each earn?
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Algebra.Com's Answer #774282 by ikleyn(52905) $\"\"$ $\"About$

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document.write( "Let x = Mary' share.\r\n" );
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document.write( "Then the Alice' share is (2x-1000) dollars,  \r\n" );
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document.write( "and Bob' share is (x+2000).\r\n" );
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document.write( "The equation for the total then is\r\n" );
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document.write( "    x + (2x-1000) + (x+200) = 25000  dollars.\r\n" );
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document.write( "Simplify and solve for x\r\n" );
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document.write( "    4x + 1000 = 25000\r\n" );
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document.write( "    4x = 25000 - 1000 = 24000\r\n" );
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document.write( "     x                = 24000/4 = 6000  dollars.\r\n" );
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document.write( "ANSWER.  Mary' share is $6000;  Alice' share is 2*6000-1000 = 11000 dollars;  Bob' share is  6000+2000 = 8000 dollars.\r\n" );
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document.write( "CHECK.  6000 + 11000 + 8000 = 25000.   ! Precisely correct !\r\n" );
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