Question 119444
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.