Eight farmers each had eight farms that each had eight dogs that each had eight puppies that each had eight fleas. How many total legs are there?

Question

AGRFTr · Accepted Answer

no of farmers = 8 no of farms each farmer had = 8 therefore, total no of farms =8×8=64 no of dogs each farm had = 8 therefore, total no of dogs =64×8=512 no of puppies each dog had = 8 therefore, total no of puppies =512×8=4096 no of fleas each puppy had = 8 therefore, total no of fleas =4096×8=32,768 total no of legs of 512 dogs =512×4=2048 total no of legs of 4096 puppies =4096×4=16384 total no of legs of 32768 fleas =32768×6=131072 Hence, total number of legs present =2048+16384+131072=149,504 legs

Accepted Answer

Farmers: 8  Each farmer had 8 farms: 8x8=64 farms   Each farm had 8 dogs: 64x8=512 dogs   Each dog had 8 puppies: 512x8=4096 puppies  Each puppy had 8 fleas: 4096x8=32,768 fleas   8 farmers x 2 legs each = 16 legs   512 dogs x 4 legs each = 2048 legs  4096 puppies x 4 legs each= 16,384 legs   32,768 fleas x 6 legs each = 196,608 legs   16+2048+16,384+196,608= 215, 056 legs   There are a total of 215,056 legs!

Eight farmers each had eight farms that each had eight dogs that each had eight puppies that each had eight fleas. How many total legs are there?

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