document.write( "Question 12317: A farmer goes to store to buy fertilizer. Brand A bags contain 4 lbs of Sulfur and 5 lbs of nitrogen in each bag Brand B has 7 lbs of sulfur and 6 lbs of nitrogen in each bag. He needs 308 lbs of sulfur and 330 lbs of nitrogen. How many of each brand should he get?
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document.write( "I think the correct answer is 42 of Brand A and 20 of Brand B. How do we solve these type of problems? Please help. I am trying to help my daughter with no luck.\r
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document.write( "Email: HKARIMI @BELLSOUTH.NET\r
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document.write( "Regards, Mike \n" );
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Algebra.Com's Answer #6252 by kusha(21)![]() ![]() ![]() You can put this solution on YOUR website! Let us suppose he gets p Kg of A and q Kg of B \n" ); document.write( "So he gets {4}x p of sulphur & {5}x p kg of nitro from A AND \n" ); document.write( " he gets {7}x q of Sulphur & {6}x q Kg of nitro from B \n" ); document.write( "Total sulphur is 4p + 7q and total nitro is 5p + 6q \n" ); document.write( "But acc to ques total sulphur is 308 and total notro is 330 SO we have 2 eqns and two variables to solve . So the ques is done and only calculations remain\r \n" ); document.write( "\n" ); document.write( "4p + 7q = 308 and 5p + 6q = 330\r \n" ); document.write( "\n" ); document.write( "multiplying 1st eqn by 5 on both sides and 2nd by 4 on both sides we get \n" ); document.write( "20p + 35q = 1540 & 20p + 24q = 1320 \n" ); document.write( "subtracting the two eqns 11q = 220 thus q = 20 \n" ); document.write( "substituting q in 1st eqn we get p = 42 \n" ); document.write( " |