document.write( "Question 1102693: A chemist has a barrel with 15% salt solution and another barrel with a 24% salt solution. If he wants to create 25 gallons of an 18% salt solution, how many gallons of each solution will he need? \n" ); document.write( "

Algebra.Com's Answer #717429 by ikleyn(52879) $\"\"$ $\"About$

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document.write( "    x +     y = 25            (1)   (gallons of the total mixture)\r\n" );
document.write( "0.15x + 0.24x = 0.18*25       (2)   (mass of salt, calculated based on mass of each mixture)\r\n" );
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document.write( "Equivalently\r\n" );
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document.write( "  x +   y =    25             (3)\r\n" );
document.write( "15x + 24y = 18*25             (4)\r\n" );
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document.write( "Solve by Elimination method. For it, multiply eq(3) by 15 (both sides).\r\n" );
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document.write( "15x + 15y = 15*25             (5)\r\n" );
document.write( "15x + 24y = 18*25             (6)\r\n" );
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document.write( "Next subtract (5) from (6). You will get\r\n" );
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document.write( "9y = 18*25 - 15*25 = 3*25  ====>  y =  =  = .\r\n" );
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document.write( "Answer.   gallons of the 24% solution and 25 -  =  gallons of the 15% solution.\r\n" );
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document.write( "Check.   15* + 24* = 450.\r\n" );
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document.write( "         18*25          = 450.     ! Correct !\r\n" );
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\n" ); document.write( "There is entire bunch of introductory 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 alloys \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 the 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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