It is a math problem of first degree equations:In a farm there are rabbits and chickens, in total 39 heads and 126 legs. How many rabbits and how many chickens are there?Can you explain me this probles step by step?
Accepted Solution
A:
Answer:Step-by-step explanation:Ok, so there are rabbits and chickensRabbits have 4 legs and 1 headChickens have 2 legs and 1 headSo obviously we have a total of 39 animalsLet's make rabbits = x and chickens = ySo now we can make an equation for heads and and equation for legs.Legs:4x + 2y = 126Heads:x + y = 39Now we can use substitution to solve.If x + y = 39, then y = 39 - xSo,4x + 2(39-x) = 126Distribute and Combine like terms4x + 78 - 2x = 1262x + 78 = 1262x = 48x = 24Plug x back in to the second equation(24) + y = 39y = 15That means,x = rabbits = 24y = chickens = 15