document.write( "Question 1208989: A 20-pound bag of Economy brand cement mix contains 25% cement and 75% sand. How much pure cement must be added to produce a cement mix that is 40% cement?\r
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\n" ); document.write( "\n" ); document.write( "I think the equation should look like this:\r
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\n" ); document.write( "\n" ); document.write( "%•amount + %•amount = %(mixture)\r
\n" ); document.write( "\n" ); document.write( "0.25(20) + 0.75(x) = 0.40(x + 20)\r
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Algebra.Com's Answer #847537 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "A 20-pound bag of Economy brand cement mix contains 25% cement and 75% sand.
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\n" ); document.write( "\n" ); document.write( "I think the equation should look like this:\r
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\n" ); document.write( "\n" ); document.write( "%•amount + %•amount = %(mixture)\r
\n" ); document.write( "\n" ); document.write( "0.25(20) + 0.75(x) = 0.40(x + 20)\r
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\n" ); document.write( "\n" ); document.write( "        This is wrong.\r
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\n" ); document.write( "\n" ); document.write( "        I will not explain, why it is wrong.\r
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\n" ); document.write( "\n" ); document.write( "        I will write a correct solution, instead.\r
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document.write( "Assume you add x pounds of pure cement.\r\n" );
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document.write( "Now the total mass is 20+x pounds; the portion of the pure cement is  0.25*20+x  pounds.\r\n" );
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document.write( "You want\r\n" );
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document.write( "    0.25*20 + x = 0.4*(20+x)  pounds.\r\n" );
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document.write( "It is your setup equation to solve and to find x.\r\n" );
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document.write( "Now I solve it for you step by step.  Watch my steps.\r\n" );
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document.write( "    5 + x = 8 + 0.4x,\r\n" );
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document.write( "    x - 0.4x = 8 - 5,\r\n" );
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document.write( "    0.6x = 3,\r\n" );
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document.write( "       x = \"3%2F0.6\" = \"30%2F6\" = 5 pounds  of the pure cement to add  (rounded).    ANSWER\r\n" );
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