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A hunter proudly said he returned with 27 heads and 78 feet He only brought back ducks and rabbits How many of each did he have?
Wiki User
∙ 12y ago
He shot 15 ducks and 12 rabbits.
Algebraically, solve for one variable
D = ducks (two feet) and R = Rabbits (four feet), and all have 1 head
D + R = 27
2D + 4R = 78
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2D + 4R = 78
2D + 2R = 54 [ from 2(D + R) = 2(27) ]
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subtracting,
2R = 78 - 54 = 24
R = 12
D = 15
2 (15) + 4 (12) = 30 + 48 = 78 feet
Wiki User
∙ 12y ago
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