document.write( "Question 626090: A furniture maker is making a chair and needs 12 feet of wood. He has chosen to make the chair out of maple, which costs $25 per foot, and pine, which costs $28 per foot. If the furniture maker wants to spend a total of $25.75 per foot, how many feet of each type of wood will he need?\r
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Algebra.Com's Answer #393968 by babs1010(6) ![]() You can put this solution on YOUR website! A furniture maker is making a chair and needs 12 feet of wood. He has chosen to make the chair out of maple, which costs $25 per foot, and pine, which costs $28 per foot. If the furniture maker wants to spend a total of $25.75 per foot, how many feet of each type of wood will he need? | \n" ); document.write( "-------------------------- \n" ); document.write( "Let X = Number of FEET at $25 \n" ); document.write( "Let Y = Number of FEET at $25.75 \n" ); document.write( " \n" ); document.write( "X + Y = 12 \n" ); document.write( "25X + 25.75Y = 28 \n" ); document.write( " \n" ); document.write( "X = 12 - Y \n" ); document.write( " \n" ); document.write( "25(12 - Y) + 25.75Y = 28 \n" ); document.write( "300 - 25Y + 25.75Y = 28 \n" ); document.write( " \n" ); document.write( "0.75Y = -272 \n" ); document.write( " \n" ); document.write( "Y = -362.667 \n" ); document.write( " \n" ); document.write( "X = 374.667 \n" ); document.write( " \n" ); document.write( " |