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14 August, 12:27

At a horse show, there are both people and horse in the ring. Maria counted 22 heads and 64 legs. How many horses are in the ring? A

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  1. 14 August, 15:32
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    Each individual (horse or person) has only one head so there are 22 individuals.

    We know that horse have 4 legs while people only have two.

    Let's guess and check

    Let's say we do 11 people and 11 horses

    11 people have 22 legs and 11 horses have 44 legs - That adds up to 66 legs which is two legs too many. We can't take a person away - 2 because we would have to add a horse + 4 which would even bring us further away from 64. We need to take a horse away - 4 and add a person + 2 and we will lose two legs

    Final answer: 12 people and 10 horses

    Check 12 people have 24 legs 10 horses have 40 legs - together they have 64 legs.

    Problem solved.
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