How Many Chickens and Rabbits?
Let the number of chickens be "x" and the number of rabbits be "y". Based on the clues, we can set up the following system of linear equations: the first equation: x + y = 46. the second equation: 2x + 4y = 128. Multiplying the first equation by 2 gives: 2x + 2y = 92. Subtracting this from the second equation, we get: 2y = 36. y = 18 (rabbits). Substituting "y" back into the first equation:x = 46 - 18 = 28 (chickens). Final Answer: There are 28 chickens and 18 rabbits in the cage!
Trainee detective Adam is investigating a mysterious incident on a farm. In his secret hideout, there's a huge cage housing both chickens and rabbits. Today, to verify his assets, Adam conducted a thorough inventory of the cage. He noted two key clues: there are 46 animals in the cage, and when he bent down to count the toes, he found there are 128 legs in total.
Now, can you help Adam use logic to calculate exactly how many chickens and rabbits are hiding in the cage? This is a classic logic puzzle. Can you solve it?