Question

total number of in a zoo is 50 the total number of their legs is 140 find the number of lions and peacocks in the zoo​

Answer 1

Correct Question :-

• Total number of Lions and Peacocks in a zoo is 50. If the Total number of their legs are 140, then find the number of Lions and Peacocks in the zoo.

Answer :-

• Number of Lions in Zoo = 20
• Number of Peacocks in Zoo = 30

Given :-

• Total Number of Lions and Peacocks in Zoo = 50

• Total Number of Legs of Lions and Peacocks = 120

To Find :-

• Number of Lions in Zoo = ?
• Number of Peacocks in Zoo = ?

Explanation :-

Let we Suppose that,

• No. of Lions in Zoo = x
• No. of Peacocks in Zoo = y

$\bf : \: \implies x + y = 50 \quad .........(1)$

As we know,

The Lions have 4 Legs and Peacocks have 2 Legs.

$\rm : \: \longrightarrow 4x + 2y = 140$

$\rm : \: \longrightarrow 2(2x + y) = 140$

$\rm : \: \longrightarrow 2x + y = \dfrac{140}{2}$

$\bf : \: \implies 2x + y = 70 \quad .........(2)$

Now Subtracting Equation 1 from Equation 2

$\rm \implies (2x + y = 70) - (x + y) = 50)$

$\rm \implies x = 70 - 50$

$\red { \underline { \boxed { \bf \implies x = 20 }}}$

Now Substituting the value of 'x' in Equation 1

$\rm \: \implies x + y = 50$

$\rm \: \implies 20 + y = 50$

$\rm \: \implies y = 50 - 20$

$\red { \underline { \boxed { \bf \implies y = 30 }}}$

Hence, the Number of Lions and Peacocks in the zoo is 20 and 30 respectively.

@Agamsain