document.write( "Question 1030324: A silversmith has two alloys, one containing 50% silver and the other 40% silver. How much of each should be melted and combined to obtain 600 grams of an alloy containing 47% silver? \n" ); document.write( "

Algebra.Com's Answer #645185 by ikleyn(52786) $\"\"$ $\"About$

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\n" ); document.write( "A silversmith has two alloys, one containing 50% silver and the other 40% silver.
\n" ); document.write( "How much of each should be melted and combined to obtain 600 grams of an alloy containing 47% silver?
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document.write( "Take P grams of the 50% silver alloy and F grams of the 40% silver alloy.\r\n" );
document.write( "Make sure that \r\n" );
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document.write( "   P +    Q = 600,         (1)   and\r\n" );
document.write( "0.5P + 0.4Q = 0.47*600.    (2) \r\n" );
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document.write( "Solve this system for P and Q:\r\n" );
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document.write( "   P +    Q = 600,         (1)   and\r\n" );
document.write( "0.5P + 0.4Q = 282.         (2)       ( 282 = 0.47*600 )\r\n" );
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document.write( "You can use any of substitution or eliminating method.\r\n" );
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document.write( "I think that if the teacher gave you such problem, you know how to solve the 2x2-system.\r\n" );
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document.write( "If not, look into the lessons \r\n" );
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document.write( "    - Solution of the linear system of two equations in two unknowns by the Substitution method\r\n" );
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document.write( "    - Solution of the linear system of two equations in two unknowns by the Elimination method \r\n" );
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document.write( "in this site.\r\n" );
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