document.write( "Question 1117131: How many kilograms of sand must be added to 300 kg of a mixture of sand and cement containing 40% cement to produce a mixture which will be 75% sand? \n" ); document.write( "

Algebra.Com's Answer #732122 by ikleyn(52792) $\"\"$ $\"About$

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\n" ); document.write( "How many kilograms of sand must be added to 300 kg of a mixture of sand and cement containing 40% cement to produce a mixture which will be 75% sand?
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document.write( "The mixture containing 40% cement contains 60% of sand.\r\n" );
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document.write( "So the question is\r\n" );
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document.write( "    How many kilograms of sand must be added to 300 kg of a mixture of sand and cement containing 60% of sand \r\n" );
document.write( "    to produce a mixture which will be 75% sand?\r\n" );
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document.write( "0.60*300 + x = 0.75*(300+x)     <<<---=== it is your basic balance equation\r\n" );
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document.write( "0.6*300 + x = 0.75*300 + 0.75x\r\n" );
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document.write( "x - 0.75x = 0.75*300 - 0.6*300 \r\n" );
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document.write( "0.25x = 0.15*300  ====>  x =  = 3*300/5 = 3*60 = 180.\r\n" );
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document.write( "Answer.  180 kilogram of sand should be added.\r\n" );
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document.write( "Check.   = 0.75 = 75% is the final percentage of sand.   ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "There is entire bunch of lessons covering various types of mixture problems\r
\n" ); document.write( "\n" ); document.write( "    - Mixture problems\r
\n" ); document.write( "\n" ); document.write( "    - More Mixture problems\r
\n" ); document.write( "\n" ); document.write( "    - Solving typical word problems on mixtures for solutions \r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for antifreeze solutions \r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for dry substances like coffee beans, nuts, cashew and peanuts\r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for dry substances like candies, dried fruits\r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for dry substances like soil and sand (*)\r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for alloys \r
\n" ); document.write( "\n" ); document.write( "    - Typical word problems on mixtures from the archive\r
\n" ); document.write( "\n" ); document.write( "    - OVERVIEW of lessons on word problems for mixtures\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "There is even one (marked by (*) in the list) specially devoted to similar dry mixtures.
\n" ); document.write( "Read them and become an expert in solution the mixture word problems.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Mixture problems\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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