document.write( "Question 301849: Alfalfa meal contains 2% nitrogen by weight. Bat guano contains 10% nitrogen by weight. How many pounds of each should be mixed together to make 7 pounds of fertilizer that is 8% nitrogen? \n" ); document.write( "
Algebra.Com's Answer #216435 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Alfalfa meal contains 2% nitrogen by weight. Bat guano contains 10% nitrogen by weight. How many pounds of each should be mixed together to make 7 pounds of fertilizer that is 8% nitrogen? \n" ); document.write( "-------------------------------------- \n" ); document.write( "Let \"A\" be the weight of Alfalfa meal. \n" ); document.write( "Let \"B\" be the weight of Bat guano. \n" ); document.write( "-------------------------------------------- \n" ); document.write( "Equation: \n" ); document.write( "Weight Equation: A + B = 7 \n" ); document.write( "nitrogen + nitrogen = nitrogen \n" ); document.write( "0.02A + 0.10(7-A) = 0.08(7) \n" ); document.write( "--- \n" ); document.write( "Multiply thru by 100 and solve for \"A\": \n" ); document.write( "2A + 10*7 - 10A = 8*7 \n" ); document.write( "-8A = -3*7 \n" ); document.write( "A = 3/8 lbs (amt of Alfalfa meal needed in the mixture) \n" ); document.write( "---- \n" ); document.write( "B = 7-(3/8) = (56/8)-(3/8) = 53/8 lbs (amt of Bat guano needed in the mix) \n" ); document.write( "============================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |