Question

There are 46 legs in a zoo exhibit every animal has either two or four legs the number of two legged animals is 2 more than the 4 legged animals how many animals are there

Answer 1

Answer:the number of 2 legged animals in the zoo is 9

the number of 4 legged animals in the zoo is 7

Explanation:

Let x represent the number of 2 legged animals in the zoo.

Let y represent the number of 4 legged animals in the zoo.

There a 46 legs in the exhibit in the zoo. This means that

2x + 4y = 46 - - - - - - - - - -1

There are 2 more 2 legged animals than 4 legged animals. This means that

x - 2 = y

Substituting y = x - 2 into equation 1, it becomes

2x + 4(x - 2) = 46

2x + 4x - 8 = 46

6x = 54

x = 54/6 = 9

Substituting x = 9 into x - 2 = y, it becomes

y = 9 - 2 = 7