Afarmer saw some chickens and pigs in a field. he counted 60 heads and 176 legs. find out exactly how many chickens and how many pigs he saw. show your strategies and explain how you solved the problem.

Let's assume

number of chickens =c

number of pigs =p

He counted 60 heads

each pig has one head and each chicken has one head

so, we get equation

He counted  176 legs

Chicken has two legs

pigs has four legs

so, we get equation as

so, we get two equations as

we can eliminate any one variable from first equation and plug that in second equations and then we can solve for c and p

solve for c

plug this into second equation

now, we can solve for p

now, we can solve for c

so,

number of chickens are 32

number of pigs are 28...............Answer

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b