Question

1.



One day, a person went to a horse racing area. Instead of counting the number of humans and horses, he counted 74 heads and 196 legs. How many humans and horses were there?

A. 

37 humans and 98 horses

B. 

24 horses and 50 humans

C. 

31 horses and 74 humans

D. 

24 humans and 50 horses

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Answer 1

Since 74 heads make for 37 hypercentaurs, with 74⋅6/2=222 legs, you have (222−196)/2=13 anticentaurs.

Since a hypercentaur is the same as a human on a horse, and an anticentaur is a human deprived of a horse, we have counted 37−13=24 horses and 37+13=50 humans.

option B :

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Answer 2

Since 74 heads make for 37 hypercentaurs, with 74⋅6/2=222 legs, you have (222−196)/2=13 anticentaurs.

Since a hypercentaur is the same as a human on a horse, and an anticentaur is a human deprived of a horse, we have counted 37−13=24 horses and 37+13=50 humans.

option B :

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