SOLUTION: farmer frannie has a farm. and onthat arm, she has only ducks and pigs. she is taking inventory and writes down that she has a total of 20 animals. then she writes that those anima
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Question 177477: farmer frannie has a farm. and onthat arm, she has only ducks and pigs. she is taking inventory and writes down that she has a total of 20 animals. then she writes that those animals have a total of 64 legs. how many of each type of animal does she have? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! farmer frannie has a farm. and onthat arm, she has only ducks and pigs. she is taking inventory and writes down that she has a total of 20 animals. then she writes that those animals have a total of 64 legs. how many of each type of animal does she have?
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Item Equation: d + p = 20
Leg Equation.:2d +4p = 64
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Rearrange:
2d + 2p = 2*20
2d + 4p = 64
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Subtract the 1st from the 2nd to solve for "p":
2p = 24
p = 12 (# of pigs)
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Substitute to solve for "d":
d + 12 = 20
d = 8 (# of ducks)
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Cheers,
Stan H.