document.write( "Question 1029071: A metal worker has several 1-kilogram bars of a metal alloy that contain 23% copper and several 1-kilogram bars that contain 79% copper. How many bars of each type of alloy should be melted and combined to create 48 kilograms of a 44% copper alloy? Set up and solve a system of equations to find the answer.
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A metal worker has several 1-kilogram bars of a metal alloy that contain 23% copper and several 1-kilogram bars that contain 79% copper. How many bars of each type of alloy should be melted and combined to create 48 kilograms of a 44% copper alloy? Set up and solve a system of equations to find the answer.
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\n" ); document.write( "Quantity Eq:: t + s = 48 kg
\n" ); document.write( "Copper Eq:: 23t+79s = 44*48
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\n" ); document.write( "Modify for elimination::
\n" ); document.write( "23t + 23s = 23*48
\n" ); document.write( "23t + 79s = 44*48
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\n" ); document.write( "Subtract and solve for \"s\"::
\n" ); document.write( "56s = 21*48
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\n" ); document.write( "s = 18 (# of 79% bars needed)
\n" ); document.write( "t = 48-18 = 30 (# of 23% bars needed)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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