document.write( "Question 1152316: Use two equations in two variables to solve the application. See Example 6. (Objective 1)\r
\n" ); document.write( "\n" ); document.write( "A merchant wants to mix peanuts worth $3 per pound with jelly beans worth $1.50 per pound to make 30 pounds of a mixture worth $2.40 per pound. How many pounds of each should he use? \n" ); document.write( "

Algebra.Com's Answer #774311 by ikleyn(52855) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Let x = pounds of peanuts\r\n" );
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document.write( "    y = pounds of jelly beans.\r\n" );
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document.write( "Then you have these two equations\r\n" );
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document.write( "     x +     y = 30         (1)   (pounds of the new mixture)\r\n" );
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document.write( "    3x + 1.50y = 2.40*30    (2)   (the total cost of the mixture in both sides)\r\n" );
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document.write( "From equation (1), express y = 30 - x  and substitute it into equation (2), replacing y.  You will get\r\n" );
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document.write( "    3x + 1.50*(30-x) = 72.\r\n" );
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document.write( "From the last equation.\r\n" );
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document.write( "    3x + 1.50*30 - 1.50x = 72\r\n" );
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document.write( "    3x - 1.50x = 72 - 45\r\n" );
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document.write( "    1.50x = 27\r\n" );
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document.write( "        x =  = 18.\r\n" );
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document.write( "ANSWER.  18 pounds of peanuts and the rest (30-18) = 12 pounds of jelly beans.\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is a standard and typical mixture word problem. \r
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\n" ); document.write( "\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( "    - Advanced mixture problems \r
\n" ); document.write( "\n" ); document.write( "    - Advanced mixture problem for three alloys \r
\n" ); document.write( "\n" ); document.write( "    - Unusual word problem on mixtures \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( "A convenient place to quickly observe these lessons from a \"bird flight height\" (a top view) is the last lesson in the list.\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( "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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