Question 177869: in a farm, there are 150 more goats than ducks. there are 1800 animal legs altogether. how many goats and ducks are there in the farm? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! in a farm, there are 150 more goats than ducks. there are 1800 animal legs altogether. how many goats and ducks are there in the farm?
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Equations:
Quantity Equation: g = d + 150
Leg equation: 4g + 2d = 1800
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Rearrange:
g - d = 150
4g + 2d = 1800
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Modify:
2g - 2d = 300
4g + 2d = 1800
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Add to solve for "g":
6g = 2100
g = 350 (# of goats)
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Solve for "d":
350 -d = 150
d = 200 (# of ducks)
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Cheers,
Stan H.
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