A flock of geese landed landed in a dog park. All the dogs ran to investigate. Alex counted

22 animals 64 legs. How many many geese and how many dogs did he count?

12 geese

10 dogs

Step-by-step explanation:

We are given;

Total number of animals (dogs and geese) is 22 Total number of legs of animals is 64

We are required to determine the number of geese and dogs that Alex counted;

We need to know that;

a dog has 4 legs while, a geese has 2 legs Therefore;

Assuming he counted x number of geese and y number of dogs;

Then;

x + y = 22, and

2x + 4y = 64

Thus, solving the equation simultaneously;

we can multiply the first equation by 2, to get

2x + 2y = 44

2x + 4y = 64

Eliminating x (by subtracting the second eqn from the first eqn), we get;

-2y = - 20

y = 10

Solving for x;

x = 22 - y

= 22 - 10

x = 12

Therefore; he counted 12 geese and 10 dogs