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