Question

At a certain time in a tiger park, the number of heads and the number of legs of tiger and human visitors were counted and it was found that there were 39 heads and 132
legs. Find the number of tigers and human visitors in the park.
Why is it important to take care of tigers?
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Answer 1

$\fbox{\texttt{\green{Answer:}}}$

Total number of visitors = 12

Total number of tigers = 27

$\fbox{\texttt{\pink{Given:}}}$

Total number of heads (humans & tigers) seen = 39

Total number of legs seen (humans & tigers) = 132

$\fbox{\texttt{\orange{To\:find:}}}$

The total number of tigers and human visitors in the park.

$\fbox{\texttt{\red{How\:to\:Find:}}}$

Let the number of vistitors be x and the number of tigers be y.

According to the question,

Total heads seen is 39, therefore,

$\bold{x+y=39\longrightarrow{(1)}}$

Total legs seen is 132 (note that each tiger has 4 legs while each human has two legs), therefore,

$\bold{2x+4y=132\longrightarrow{(2)}}$

Now, $\bold{(1)\times{}2\implies\:2x+2y=78\longrightarrow{(3)}}$

$\bold{(2)-(3)\implies\:2y=54}$

$\implies\bold{y=27}$

Now, substitute the value of y in $\bold{(1)}$:-

$\bold{(1)\implies\:x+27=39}$

$\implies\bold{x=12}$

i.e., the number of visitors (x) = 12

and the number of tigers (y) = 27

$\hrulefill$

The decreasing number of tigers will affect the ecosystem and disturbs the food chain. All of this will ultimately cause loss of biodiversity.

Answer 2

Step-by-step explanation:

Let the no.of tigers and the human visitors in the park be x and y respectively

Then according to the question:

X + y = 39 ............(1)

2X +4y = 132 ..........(2)

Therefore , A human has one head and two legs

whereas a tiger has when one head and four legs .......

So , X + 2y = 66 .................(3)

( Dividing throughout by 2 )

Subtracting equation (1) from equation (3) , (to eliminate x ) , we get

2Y - Y = 66 - 39

Y = 27

Putting y = 27 in equation (1) , we get

X + 27 = 39

X = 39 - 27 = 12

Hence ,

there are 12 tigers and 27 human visitors in the park .

A tiger is a forest animal . It adds to the animal wealth of the nation .The beauty of a zoo is enhanced in the presence of a tigers . It is a symbol of bravery . Therefore , we must take proper care of the tigers .

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