There are 45 heads and 146 feet in the same cage. How many are there in each cage?

There are 45 heads and 146 feet in the same cage. How many are there in each cage?


Solution 1: assume all rabbits. (4 × 45-146) / (4-2) = 17, 45-17 = 28. Solution 2: assume all chickens. (146-2 × 45) / (4-2) = 28, 45-28 = 17. Answer: there are 17 chickens and 28 rabbits



There are 45 heads and 148 legs in the same cage. How many chickens and rabbits are there in the cage? (please use the equation to solve)


With X chickens, there are 45-x rabbits
2x+4(45-x)=148
It's time to tidy up
2x=32
x=16
45-16 = 29
There are 16 chickens and 29 rabbits



There are 126 feet in the same cage. If we change chicken into rabbit and rabbit into chicken, there are 108 feet in total. How many chickens and rabbits?


Let the chicken have X and the rabbit have y
2X+4Y=126
4X+2Y=108
Solution
6X=90
X=15
2Y=48
Y=24
So there are 15 chickens and 24 rabbits
this is it!



There are 80 chickens and rabbits in total. There are 40 more chicken feet than rabbit feet. How many chickens and rabbits do you have!


Chicken = (4 * 80 + 40) / (2 + 4) = 60
Rabbits = 80-60 = 20