document.write( "Question 1162588: In order to make a 42% solution of alcohol in water how many ounces of water should be added to 980 ounces of solution that contains 420 ounces of pure alcohol? \n" ); document.write( "

Algebra.Com's Answer #786414 by ikleyn(52879) $\"\"$ $\"About$

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document.write( "Let W be the volume of water to add, in ounces.\r\n" );
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document.write( "Then the volume of liquid is 980+W with the amount of the pure alcohol of 420 ounces.\r\n" );
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document.write( "The concentration equation is then\r\n" );
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document.write( "     = 0.42,\r\n" );
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document.write( "Multiply both sides by the denominator to get\r\n" );
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document.write( "    420 = 0.42*(980+W)\r\n" );
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document.write( "Simplify and find W\r\n" );
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document.write( "    420 = 0.42*980 + 0.42W\r\n" );
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document.write( "    W =  = 20.\r\n" );
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document.write( "ANSWER.  20 ounces of water to add.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Now, when the answer is just obtained, it seems OBVIOUS to you: when you add 20 ounces of water to 980 ounces
\n" ); document.write( "of the original mixture, you will have 1000 ounces of the diluted mixture with 420 ounces of the pure alcohol,
\n" ); document.write( "which makes the final mixture 42% alcohol.\r
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\n" ); document.write( "\n" ); document.write( "It is a standard and typical mixture problem.\r
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\n" ); document.write( "\n" ); document.write( "In this site, there is a bunch of lessons, covering various types of mixture problems. See introductory lessons\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 alloys \r
\n" ); document.write( "\n" ); document.write( "    - Typical word problems on mixtures from the archive\r
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\n" ); document.write( "\n" ); document.write( "For dilution problems, similar to the given one, there is a special lesson\r
\n" ); document.write( "\n" ); document.write( "    - Special type mixture problems on DILUTION adding water\r
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\n" ); document.write( "\n" ); document.write( "Read the lessons 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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