There are 282 chickens and rabbits in the same cage with 15 feet less than the chickens. How many formulas are there for each chicken and rabbit

There are 282 chickens and rabbits in the same cage with 15 feet less than the chickens. How many formulas are there for each chicken and rabbit


The idea of this question is as follows: rabbits are 15 less than chickens, that is to say, the 15 more chickens have 30 feet
Now there are 282 feet in total. After subtracting these 30 feet, the number of rabbits and chickens left should be equal,
One chicken corresponds to one chicken, and one chicken and one chicken have six feet, then (282-30) △ 6 = 42
Even if there are 42 chickens and 42 rabbits, the number of chickens is 15 because rabbits are less than chickens
42 + 15 = 57, while the number of rabbits was 42



In the same cage, there are 15 rabbits less than chickens. There are 282 feet of chickens and rabbits. How many chickens and rabbits are there?


Suppose there are x rabbits, then there are (x + 15) chickens, & nbsp; 4x + 2 × (x + 15) = 282 & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; 4x + 2x + 30 = 282 & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & 6x = 252 & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & n