Question

(1) Farmer Ben has only ducks and cows 21 in total. He can’t remember how many of each he has. He knows

Answer 1

Answer:

Answer of question 1 :

Explanation:

Let x be the legs of ducks

And y be the legs of cows

According to the question,

2x + 4y = 52...…..(i) ( as ducks ahs two legs and as cows has 4 legs)

As he has 21 animals in total so,

x + y = 21...…..(ii)

We have make the equation. We will solve them by eliminatory method or substitution method. Here, I'll go for substitution method.

From equation (ii)

x = 21 - y....…..(iii)

Putting the value of x in equation (i),

2x + 4y = 52

2( 21 - y ) + 4y = 52

42 - 2y + 4y = 52

2y = 52 - 42

y = 10/2

y = 5 ( He has 2 cows)

putting the value of y in equation (ii)

x + y = 21

x + 5 = 21

x = 21 -5

x = 16 ( He has 16 ducks)