Question

A farmer has some chickens and some goats. Together there are 50 heads and 164 legs. How many chickens and how many goats does the farmer have? Why?​

Answer 1

Let’s assume Number of chicken as X and goat as Y

2X + 4Y = 140 and X + Y = 50

Since chicken has 2 legs and goat has 4 legs.

X = 50 - Y. sub value of X in equation 1.

2(50- Y) + 4Y = 140

100 - 2Y + 4Y = 140

100 + 2Y = 140

2Y = 40

Y = 20, Number of goat is 20. So chicken will 30