document.write( "Question 182987: Snookers lumber can convert logs into either lumber or plywood. In a given day, the mill turns out twice as many units of plywood as lumber. It makes a profit of $20 on a unit of lumber and $45 on a unit of plywood. How many of each unit must be produced and sold in order to make a profit of $11110?\r
\n" ); document.write( "\n" ); document.write( "Snookers lumber must produce and sell ___ units of lumber and ___ units of plywood to make a profit of $11110. \n" ); document.write( "

Algebra.Com's Answer #137376 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"a\"$ = units of lumber produced
\n" ); document.write( "Let $\"b\"$ = units of plywood produced
\n" ); document.write( "given:
\n" ); document.write( " $\"b+=+2a\"$
\n" ); document.write( " $\"20a+%2B+45b+=+11110\"$
\n" ); document.write( "Substituting:
\n" ); document.write( " $\"20a+%2B+45%2A%282a%29+=+11110\"$
\n" ); document.write( " $\"20a+%2B+90a+=+11110\"$
\n" ); document.write( " $\"110a+=+11110\"$
\n" ); document.write( " $\"a+=+101\"$
\n" ); document.write( "and
\n" ); document.write( " $\"b+=+2a\"$
\n" ); document.write( " $\"b+=+2%2A101\"$
\n" ); document.write( " $\"b+=+202\"$
\n" ); document.write( "101 units of lumber must be produced and 202 units of plywood
\n" ); document.write( "check answer:
\n" ); document.write( " $\"20a+%2B+45b+=+11110\"$
\n" ); document.write( " $\"20%2A101+%2B+45%2A202+=+11110\"$
\n" ); document.write( " $\"20a+%2B+45b+=+11110\"$
\n" ); document.write( " $\"2020+%2B+9090+=+11110\"$
\n" ); document.write( " $\"11110+=+11110\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );