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?
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Let the number of horses be e and the number of people be p .
We have e + p = 7 4 (Equation 1 )
and 4 e + 2 p = 1 9 6 (Equation 2 )
Solving simultaneously: ( 2 ) − 2 ∗ ( 1 ) gives
2 e = 4 8
e = 2 4
2 4 + p = 7 4
p = 5 0