Question

Q28.At a certain time in a zoo the number of heads & no. of legs of tiger & peacock were counted and it was found that there were 47 heads & 142 legs.Find the no. of tigers & peacock in the zoo.Why it is necessary conserve these animals? Plzzzzz rep ASAP...... no links Plzzzz........

Answer 1

here is the answer.it is necessary to conserve these animals to maintaon ecological balance and food chain.if u like the ans mark it as brainliest answer.

Answer 2

Concept:

Exponent power rule, that means when we multiply the same bases then their powers are added, i.e. a²×a³=a⁵

Given:

Number of heads = 47

Number of legs = 142

Find:

We are asked to find the number of tigers & peacocks in the zoo.

Solution:

We have,

Number of heads = 47

Number of legs = 142,

Tiger has 4 legs and peacock has 2 legs.

Now,

Let, Number of tigers = x

Number of peacocks = y

So,

According to the question,

Number of heads = 47

x + y = 47     (i)

⇒ x = 47 - y     (ii)

And,

Number of legs = 142

4x + 2y = 142     (iii)

Now,

Substitute the value of x from equation (ii) in equation (iii),

4( 47 - y ) + 2y = 142  

188 - 4y + 2y = 142

⇒ 2y = 188 - 142

2y = 46

y = 23

So, number of peacocks are 23.

Now,

Substitute the value of y in equation (ii),

We get,

x = 47 - 23

x = 24

So, number of tigers are 24.

Now,

It is necessary to conserve tigers and peacocks as the number of these animals is decreasing day by day.

Hence we can say that the number of tigers is 24 and the number of peacocks is 23.

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