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Question

At a certain time in a deer park, the number of heads and number of legs of deer and human visitors was counted and it was found that there were 39 heads and 132 legs. Find the number of deers and human visitors in the park.


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Solution

Step 1: Form equations using given data.

Let x be the total number of heads of deer and ybe the total number of heads of human visitors.
therefore, x+y=39---------------------------(i)
As 1 deer has 4 legs and 1 head & 1 human visitor has 2 legs and 1 head. we get,
4x+2y=132--------------------------(ii)

Step 2: Solve the obtained equations.

Solving equation(i)and (ii)

On multiply by 4 in equation (i)we have

4x+4y=156--------------------------(iii)

On subtracting the equation (ii) from (iii)we have,

2y=24y=12

In putting y=12 in the equation (i)we have ,

x+12=39x=27

Hence, the total number of visitors =12 and the total number of deers =27 .


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