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
A.
37 humans and 98 horses
B.
24 horses and 50 humans
C.
31 horses and 74 humans
D.
24 humans and 50 horses
1 answer:
Answer:
Option B. 24 horses and 50 humans
Step-by-step explanation:
Let
x ----> the number of humans
y ----> the number of horses
Remember that
A human has one head and two legs
A horse has one head and four legs
so
----> equation A
-----> equation B
Solve the system by graphing
The solution of the system is the intersection point both graphs
The solution is the point (50,24)
see the attached figure
therefore
The number of humans is 50 and the number of horses is 24
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