document.write( "Question 159179: Write and solve a system of equations for a given model / word problem:
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document.write( "2. The owner of a small nursery specializes in iris and day lily starter plants. He has been selling irises at a price of $3.00 per dozen and day lilies at a price of $8.00 per dozen. A landscaper wants to buy 15 dozen of a mixture of day lilies and irises, and she is willing to pay $5.00 per dozen for the mixture. How many of each type should the nursery owner include in the mix? \n" );
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Algebra.Com's Answer #117329 by stanbon(75887) ![]() You can put this solution on YOUR website! The owner of a small nursery specializes in iris and day lily starter plants. He has been selling irises at a price of $3.00 per dozen and day lilies at a price of $8.00 per dozen. A landscaper wants to buy 15 dozen of a mixture of day lilies and irises, and she is willing to pay $5.00 per dozen for the mixture. How many of each type should the nursery owner include in the mix? \n" ); document.write( "----------------------------------------------- \n" ); document.write( "Let number of dozen of irises be \"x\"; Then number of dozen of day lilies is 15-x \n" ); document.write( "------------ \n" ); document.write( "Value of the mix is 3x + 8(15-x) = 5*15 dollars \n" ); document.write( "3x + 120 - 8x = 75 \n" ); document.write( "-5x = - 45 \n" ); document.write( "x = 9 dozen (# of dozen of irises) \n" ); document.write( "15-x = 6 (# of dozen of day lilies) \n" ); document.write( "===================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |