document.write( "Question 1162518: A foundry has been commissioned to make souvenir coins. The coins are to be made from an alloy that is 40% silver. The foundry has on hand two alloys, one with 50% silver content and one with a 25% silver content. How many kilograms of each alloy should be used to make 5 kilograms of the 40% silver alloy? \n" ); document.write( "

Algebra.Com's Answer #786328 by ikleyn(52817) $\"\"$ $\"About$

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document.write( "Let x be the mass of the 50% silver alloy (in kilograms).\r\n" );
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document.write( "Then the mass of the 25% silver alloy is (5-x) kilograms.\r\n" );
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document.write( "The amount of the pure silver in ingredients is  0.5x + 0.25*(5-x) kilograms.\r\n" );
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document.write( "It should be equal to the amount of the pure silver in the resulting 40% alloy\r\n" );
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document.write( "    0.5x + 0.25*(5-x) = 0.4*5  kilograms.\r\n" );
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document.write( "From this equation,\r\n" );
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document.write( "    x =  = 3 kilograms.\r\n" );
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document.write( "ANSWER.  3 kilograms of the 50% silver alloy and the rest, (5-3) = 2 kilograms of the 25% silver alloy.\r\n" );
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document.write( "CHECK.  0.5*3 + 0.25*2 = 2 kilograms of the pure silver in ingredients, and\r\n" );
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document.write( "        0.4*5 = 2 kilograms of the pure silver in the 40% alloy.  ! Correct !\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( "\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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