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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?
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
---
2D + 4R = 78
2D + 2R = 54 [ from 2(D + R) = 2(27) ]
---
subtracting,
2R = 78 - 54 = 24
R = 12
D = 15
2 (15) + 4 (12) = 30 + 48 = 78 feet
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