Farmer john has hens, geese, ducks, and two goats the number of hens equals the number if geese and ducks combined . There are 5 fewer geese than ducks. If the total number of animals is 40 how many are ducks

6 answers

Without the goats, total = 38.

H = G + D

D = G + 5

Substitute G+5 for D

H = G + G + 5 = 2G + 5

H + G + D = 38

Substitute G+5 for D and 2G+5 for H.

2G+5 + G + G+5 = 38

Combine terms to solve for G, then D.
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