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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?

Respuesta :

nkirotedoreen46

Answer:

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

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