Question

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?

Answer 1

12 geese

10 dogs

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