document.write( "Question 622272: Al has collected 60 insects, all of which are spiders,
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document.write( "dragonflies, and cicadas. Al counts 380 legs, and 140
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document.write( "wings altogether. How many insects are there in each
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document.write( "kind?\r
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document.write( "i want to solve this using equations
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Algebra.Com's Answer #391248 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Al has collected 60 insects, all of which are spiders, \n" ); document.write( "dragonflies, and cicadas. Al counts 380 legs, and 140 \n" ); document.write( "wings altogether. How many insects are there in each \n" ); document.write( "kind? \n" ); document.write( "--------------- \n" ); document.write( "c + d + s = 60 (# of creatures) \n" ); document.write( "6c + 6d + 8s = 380 (# of legs) \n" ); document.write( "2c + 4d = 140 (# of wings) \n" ); document.write( "=============================== \n" ); document.write( "2c + 4d = 140 (# of wings) \n" ); document.write( "c + 2d = 70 \n" ); document.write( "c = 70 - 2d \n" ); document.write( "----- \n" ); document.write( "Sub for c in eqns 1 & 2 \n" ); document.write( "-------- \n" ); document.write( "c + d + s = 60 (# of creatures) \n" ); document.write( "70 - 2d + d + s = 60 \n" ); document.write( "-d + s = -10 \n" ); document.write( "---- \n" ); document.write( "6c + 6d + 8s = 380 (# of legs) \n" ); document.write( "6(70 - 2d) + 6d + 8s = 380 \n" ); document.write( "420 - 6d + 8s = 380 \n" ); document.write( "-3d + 4s = -20 \n" ); document.write( "------ \n" ); document.write( "-d + s = -10 \n" ); document.write( "3d - 3s = 30 \n" ); document.write( "-3d + 4s = -20 \n" ); document.write( "----------------- Add \n" ); document.write( "s = 10 \n" ); document.write( "************ \n" ); document.write( "d = 20 \n" ); document.write( "********** \n" ); document.write( "c = 30 \n" ); document.write( "================= \n" ); document.write( "Dragonflies have 4 wings. \n" ); document.write( "Spiders are not insects.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |