Question

On a certain day, the number of heads and number of legs of deer and human visitors were
counted and it was found that there were 39 heads and 132 legs.
Show that it has a consistent solution. (1)
d) Find number of deer and human visitors. (1)
e) After some years, it was found that there were 25 human visitors and total legs counted
were 528, then how many deer were in the park now?

Answer 1

Answer:

Let x be the total no of legs of deer

let y be the total no of legs of visitors.

∴x + y = 132  

∵1deer has 4 legs and 1 head & 1 visitor has 2 legs and 1 head

∴x/4 + y/2 = 39

plotting the graph we get the point of intersection which is the value of x and y.

thus from the graph we can say x = 108 and y=24

∴ num of deers = 108/4 = 27

∴ num of visitors = 24/2 = 12