document.write( "Question 241880: snookers lumber can convert logsinto either lumber or plywood. In a given day, the mill turns out thre times as mny units of plywood as lumber. It makes a profit of $30 on a unit of lumber and $40 on a unit of plywood. Howmany of each must be produced and sold in orer to make a profit of $15,600? \n" ); document.write( "

Algebra.Com's Answer #177129 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"a\"$ = units/day of lumber needed
\n" ); document.write( "Let $\"b\"$ = units/day of plywood needed
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"b+=+3a\"$
\n" ); document.write( "(2) $\"30a+%2B+40b+=+15600\"$
\n" ); document.write( "---------------------------------------
\n" ); document.write( "Substitute (1) in (2)
\n" ); document.write( "(2) $\"30a+%2B+40%2A%283a%29+=+15600\"$
\n" ); document.write( " $\"30a+%2B+120a+=+15600\"$
\n" ); document.write( " $\"150a+=+15600\"$
\n" ); document.write( " $\"a+=+104\"$
\n" ); document.write( " $\"b+=+3a\"$
\n" ); document.write( " $\"b+=+3%2A104\"$
\n" ); document.write( " $\"b+=+312\"$
\n" ); document.write( " $\"104\"$ = units/day of lumber needed
\n" ); document.write( " $\"312\"$ = units/day of plywood needed
\n" ); document.write( " \n" ); document.write( "

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