document.write( "Question 266453: A materials scientist has 6 lbs of a 40% silver alloy. How many pounds of pure silver must he mix with the entire 6 pounds of 40% alloy to obtain as much of a 62% alloy as he can? \n" ); document.write( "

Algebra.Com's Answer #195771 by josmiceli(19441) $\"\"$ $\"About$

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In words:
\n" ); document.write( "(pounds of silver in 62% alloy)/(total pounds of final alloy) = 62%
\n" ); document.write( "Let $\"x\"$ = pounds of pure silver to be added
\n" ); document.write( " $\"%28.4%2A6+%2B+x%29%2F%286+%2B+x%29+=+.62\"$
\n" ); document.write( " $\"%282.4+%2B+x%29%2F%286+%2B+x%29+=+.62\"$
\n" ); document.write( " $\"2.4+%2B+x+=+.62%2A%286+%2B+x%29\"$
\n" ); document.write( " $\"2.4+%2B+x+=+3.72+%2B+.62x\"$
\n" ); document.write( " $\"x+-+.62x+=+3.72+-+2.4\"$
\n" ); document.write( " $\".38x+=+1.32\"$
\n" ); document.write( " $\"x+=+3.474\"$
\n" ); document.write( "The scientist must add 3.474 pounds of silver
\n" ); document.write( "check:
\n" ); document.write( " $\"%28.4%2A6+%2B+x%29%2F%286+%2B+x%29+=+.62\"$
\n" ); document.write( " $\"%28.4%2A6+%2B+3.474%29%2F%286+%2B+3.474%29+=+.62\"$
\n" ); document.write( " $\"5.874%2F9.474+=+.62\"$
\n" ); document.write( " $\".620013+=+.62\"$
\n" ); document.write( "close enough \n" ); document.write( "

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