SOLUTION: In a farm , there are goats and geese.They have a total of 35 heads and 100 legs. How many goats and geese are there ?

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Question 625444: In a farm , there are goats and geese.They have a total of 35 heads and 100 legs. How many goats and geese are there ?
Answer by fcabanski(1391) About Me  (Show Source):
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Call the goats go and the geese ge. Each goat and each goose has 1 head, so the total number of heads is go + ge = 35. Express number of goats as go = 35-ge.


Each goat has 4 legs, each goose has 2 legs, so the total number of legs is 4 go + 2ge = 100. Substitute go in terms of ge (from above).


4(35-ge) +2ge = 100 Solve for ge


140-4ge + 2ge = 100 so 40=2ge and ge=20. There are 20 geese, and thus 35-20=15 goats.

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