SOLUTION: There are 40 cows and chicken in the farmyard. One quiet afternoon, Jack counted and found that there were 100 legs in all. How many cows and chickens are there? Solve this problem

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Question 154345This question is from textbook
: There are 40 cows and chicken in the farmyard. One quiet afternoon, Jack counted and found that there were 100 legs in all. How many cows and chickens are there? Solve this problem by writing and solving an equation. This question is from textbook

Answer by Alan3354(69443) About Me  (Show Source):
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There are 40 cows and chicken in the farmyard. One quiet afternoon, Jack counted and found that there were 100 legs in all. How many cows and chickens are there? Solve this problem by writing and solving an equation.
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C = # of cows
K = # of chickens
4C + 2K = 100 (4 legs per cow, 2 per chicken)
C + K = 40
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Sub K = 40-C into eqn 1
4C + 2*(40-C) = 100
4C + 80 -2C = 100
2C = 20
C = 10
K = 40-C = 30
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10 cows and 30 chickens