One day, a person went to a horse racing area. Instead of counting the number of humans an horses, he counted 74 heads and 196 legs. How many humans and horses were there?
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Nice
very good question. but very easy/unthinking options.
only in option 1 there is 74 heads and the other options have more heads .
so, i don't need to do the math. just to look at the option 1.
so, option 1 is the answer.
i too got that.
let H be the number of horses and P be the number of humans
since a horse has four feet and a human has two feet, we have the two equations
H + P = 7 4 ( 1 )
4 H + 2 P = 1 9 6 ( 2 )
Solving H in ( 1 ) , we get H = 7 4 − P . Substituting this in ( 2 ) , we have
4 ( 7 4 − P ) + 2 P = 1 9 6
2 9 6 − 4 P + 2 P = 1 9 6
1 0 0 = 2 P
5 0 = P
It follows that H = 7 4 − 5 0 = 2 4 .
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If all men and horse has two legs, there will be only 7 4 × 2 = 1 4 8 legs, but provided the horse have four legs, the sum of all legs shall also take account the two legs increasing per each horse, hence there are 2 1 9 6 − 1 4 8 = 2 4 horses and 50 men.