d Question: The zoo had some lions and some parrots. The supervisor counted 15 heads and 50 legs. How many lines and parrots in the zoo? | Job Exam Rare Mathematics (JEMrare) - Solved MCQs

# Question: The zoo had some lions and some parrots. The supervisor counted 15 heads and 50 legs. How many lines and parrots in the zoo?

Question: The zoo had some lions and some parrots. The supervisor counted 15 heads and 50 legs. How many lines and parrots in the zoo?

Solution:

This problem can be solved by solving a set of two linear equations.

Let number of lions = x

number of parrots = y

It means number of total heads = x+y=15

number of legs for lions = 4x

number of legs for parrots = 2y

So, total legs = 4x+2y=50

So, we have two equations,

x+y=15  ————————————–(1)

4x+2y=50 ————————————(2)

Multiplication of equation (1) by 4 on both sides give,

4x+4y=60 ———————————–(3)

Subtracting eq 2 from eq 4, we get,

2y=60-50=10

or

y=5

So, there are 5 parrots !

Put y=5 in eq 1 , we get,

x+5=15

or x=15-5=10

So, there are 10 lions !