In a cage, 96 horse head and 280 legs of hen then find the total number horse and hen?
Answers
Total number of heads = 96 (Given)
(* Not that the total number of heads will imply the total number of animals)
Total number of legs = 280 (Given)
(*Note that horses have 4 legs and hens have 2)
Assumed that all the animals are hens:
Total number of legs expected = 96 x 2 = 192 legs
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However, we know that there are 280 legs, so the extra legs must belong to the horses.
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Find the extra legs:
Number of extra legs = 280 - 192 = 88 legs
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Find the difference in the number of their legs:
Difference in the number of legs between the horse and the hen = 4 -2 = 2
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Find the number of horses:
88 ÷ 2 = 44
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Find the number of hens:
96 - 44 = 52
Answer: There are 44 horses and 52 hens.