document.write( "Question 877161: a fishing enthusiast buys 50 maggots and 20 worms for $1.10 and her mother buys 30 maggots and 40 worms for $1.50.Find the cost of one maggot and one worm \n" ); document.write( "
Algebra.Com's Answer #529221 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! a fishing enthusiast buys 50 maggots and 20 worms for $1.10 and her mother buys 30 maggots and 40 worms for $1.50.Find the cost of one maggot and one worm \n" ); document.write( ". \n" ); document.write( "Let x = cost of on maggot \n" ); document.write( "and y = cost of one worm \n" ); document.write( ". \n" ); document.write( "50x + 20y = 1.10 \n" ); document.write( "30x + 40y = 1.50 \n" ); document.write( ". \n" ); document.write( "-100x - 40y = -2.20 \n" ); document.write( " 30x + 40y = 1.50 \n" ); document.write( "--------------------- \n" ); document.write( "-70x = -0.7 \n" ); document.write( "x = -0.7/(-70) \n" ); document.write( "x = 0.01 (one maggot cost 1 cent) \n" ); document.write( ". \n" ); document.write( "cost of worm: \n" ); document.write( "50x + 20y = 1.10 \n" ); document.write( "50(0.01) + 20y = 1.10 \n" ); document.write( ".5 + 20y = 1.10 \n" ); document.write( "20y = .6 \n" ); document.write( "y = .6/20 \n" ); document.write( "y = 0.03 (one worm cost 3 cents) \n" ); document.write( " |