Problema Solution

A farmer had a daughter who spoke in riddles. One day the child was asked to count the number of goats and the number of ducks in the barnyard.She returned and said, "Twice the number of heads is 76 less than the number of legs." How many goats were in the barnyard?

Answer provided by our tutors

let


g = the number of goats

d = the number of ducks


Twice the number of heads is 76 less than the number of legs


2(d + g) = (4g + 2d) - 76 divide both sides by 2


d + g = 2g + d - 38


g = 38


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there are 38 goats in the barnyard.