Counting legs at the meetup

Chickens (22 legs), cows (44 legs), and spiders (88 legs) gather, with 440440 legs in total. There are twice as many chickens as cows, and twice as many spiders as chickens. How many spiders are there?

Show hints (2)+
  1. Let ww be the number of cows; write chickens and spiders in terms of ww.
  2. 2(2w)+4w+8(4w)=40w=4402(2w)+4w+8(4w)=40w=440, so w=11w=11 and spiders =4w=4w.

Answer

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44

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