SOLUTION: A group of goats and ducks have a total of 99 heads and legs among them, there are twice as many ducks as there are goats. How many are there of each?

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Question 119444This question is from textbook california edition
: A group of goats and ducks have a total of 99 heads and legs among them, there are twice as many ducks as there are goats. How many are there of each? This question is from textbook california edition

Answer by stanbon(75887) About Me  (Show Source):
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A group of goats and ducks have a total of 99 heads and legs among them, there are twice as many ducks as there are goats. How many are there of each?
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Let "g" be # of goats; Let "d" be # of ducks
EQUATIONS:.
d= 2g
(g+d)+(4g+2d)=99
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Rearrange:
d=2g
5g+3d = 99
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Substitute to solve for "g":
5g+3(2g)=99
11g =99
g = 9 (# of goats)
d=2*9 = 18 (# of ducks)
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Cheers,
San H.