document.write( "Question 1116078: A Chemist needs 170 milliliters of a 36% solution but has only 24% and 58% solutions available. Find how many milliliters of each that should be mixed to get the desired solution. \n" ); document.write( "

Algebra.Com's Answer #730900 by ikleyn(52798) $\"\"$ $\"About$

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document.write( "Let x = an amount of the 24% solution, im milliliters (mL).\r\n" );
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document.write( "Then the amount of the 58% solution is (170-x) mL.\r\n" );
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document.write( "The balance equation is\r\n" );
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document.write( "0.24x + 0.58*(170-x) = 0.36*170\r\n" );
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document.write( "0.24x + 0.58*170 - 0.58*x = 0.36*170\r\n" );
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document.write( "-0.34x = 0.36*170 - 0.58*170\r\n" );
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document.write( "x =  = 110.\r\n" );
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document.write( "Answer.  110 mL of the 24% solution and (170-110) = 60 mL of the 58% solution.\r\n" );
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document.write( "Check.   0.24*110 + 0.58*60 = 61.2 = 0.36*170.   ! Correct !\r\n" );
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\n" ); document.write( "It is a standard and typical mixture problem.\r
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\n" ); document.write( "\n" ); document.write( "For introductory lessons covering various types of mixture word problems see\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( "    - Typical word problems on mixtures from the archive\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "You will find there ALL TYPICAL mixture problems with different methods of solutions,
\n" ); document.write( "explained at different levels of detalization, from very detailed to very short.\r
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\n" ); document.write( "\n" ); document.write( "Read them and become an expert in solution 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 textbook in the section \"Word problems\" under the topic \"Mixture problems\".\r
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\n" ); document.write( "
\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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