Farmer Tom raises ducks and horses on his farm. All of his horses need new horseshoes. He calls the farrier (a person who puts shoes on horses) but has a difficult time remembering how many of each animal he owns. He knows that there are a total of 24 animals. The animals have a total of 62 legs (all animals have either two or four legs). How many horses does Tom own?

Question

12 January, 01:14

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Answers (1)

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Dilly Dally · Answer 1

h+d=24

h = 24-d

4h + 2d = 62

4 (24-d) + 2d = 62

96 - 4d + 2d = 62

96-2d = 62

-2d = - 34

d = - 34 / - 2 = 17

17 ducks

24-17 = 7 horses