document.write( "Question 1422: A wild birdseed mix is made by combining 100lb. of millet seed costing $0.60 per lb. with sunflower seeds costing $1.10 per pound. How many pounds of sunflower seeds are needed to make a mixture that costs $0.70 per lb? \n" ); document.write( "
Algebra.Com's Answer #477 by DeepaEvangeline(15)![]() ![]() ![]() You can put this solution on YOUR website! Number of pounds of millet seed is x = 100lb \n" ); document.write( "Number of pounds of sunflower seed is y\r \n" ); document.write( "\n" ); document.write( "Total pounds of the mix is x+y\r \n" ); document.write( "\n" ); document.write( "Cost of millet seed is $0.60 per lb \n" ); document.write( "Cost of sunflower seed is $1.10 per lb\r \n" ); document.write( "\n" ); document.write( "Cost of the mix is $0.70 per lb \r \n" ); document.write( "\n" ); document.write( "Cost of the mix per lb = (x * 0.60 + y * 1.10) / (x+y) = 0.70\r \n" ); document.write( "\n" ); document.write( "where x = 100\r \n" ); document.write( "\n" ); document.write( "Therefore the above eqn becomes\r \n" ); document.write( "\n" ); document.write( "(100 * 0.60 + 1.1y)/(100+y) = 0.70 \n" ); document.write( "60 + 1.1y = 0.70(100+y) \n" ); document.write( "60 + 1.1y = 70 + 0.70y \n" ); document.write( "1.1y - 0.70y = 70 - 60 \n" ); document.write( "0.40y = 10 \n" ); document.write( "y = 10/.4 = 25\r \n" ); document.write( "\n" ); document.write( "Therefore you require 25 pounds of sunflower seeds to make a mixture that costs $0.70 per lb. \n" ); document.write( " |