On his farm ol macdonald has 10 animals consisting of pigs and chickens. if there are 17 pairs of legs how many pigs and how many chickens are there?

Question

Mathematics

Imani Acosta

8 April, 06:13

On his farm ol macdonald has 10 animals consisting of pigs and chickens. if there are 17 pairs of legs how many pigs and how many chickens are there?

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Answers (1)

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Spud · Answer 1

A chicken has 1 pair of legs, and a pig has 2. If we have 10 animals, our equations are:

x + y = 10

x + 2y = 17

x is the number of chickens and y is the number of pigs

Subtract the two equations:

y = 7

This means that there are 7 pigs. 10 animals-7 pigs=3 animals remaining. There are three chickens remaining. To double check our answer, we can figure that 7*2=14+3 (the 3 pairs of chicken legs) = 17.