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
Answers
Answer:
i think d iz correct answer
Let humans be x and horses be y
Both have one head each,so x+y=74 (1)
Humans have 2 legs each and horses 4 legs each…… so 2x+4y=196 (2)
In first equation x+y=74 then y=74~x (3) ……… .
By solving both equations we have as under…
x+3y=122 x=122-3y (4)….
Now in equation 4 we put the value of y taken from equation 3 so it will be x=122~3(74-x)…. x=122-222+3x………….
bringing x on one side x-3x=122~222
therefore -2x=~100….. x=50…
put the value of x in first equation…
x+y=74…
50+y=74…
y=74~50…..…
y=24…
Now it is concluded that Humans are 50 and Horses are 24.
. Now you put the values of x & y in 1st and 2nd equation …
you will get x+y=74.. 50+24=74………..
2x+4y=196…
2×50+4×24=196..
it is proved thru equation.
B) 24HORSE AND 50 HUMANS
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