At the park the other day I saw 22 ducks and dogs.I counted 60 legs.How many of the animals were ducks and how many were dogs?

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You can choose to do the sum mentally as follows:

If all the animals were ducks, there would be 2*22=44 legs. Since there are (60-44)=16 more legs, there must be (16/2)=8 dogs, the rest (22-6)=14 ducks.

If you prefer to solve the sum mathematically, you would set up an equation as follows:
Let
k=number of ducks, then
22-k = number of dogs.
We have
2*k+4*(22-k)=60
Solve for k.
2k+88-4k=60
2k=88-60=28
k=14
So there are 14 ducks and (22-14)=8 dogs.

To find the number of ducks and dogs, we need to set up a system of equations based on the information given. Let's say the number of ducks is represented by 'd' and the number of dogs is represented by 'g'.

According to the problem, the total number of animals is 22: d + g = 22.

Each duck has 2 legs, and each dog has 4 legs. The total number of legs is given as 60: 2d + 4g = 60.

To solve this system of equations, we can use a method called substitution or elimination.

Let's use the substitution method:

From the first equation, we can solve for one variable in terms of the other. Let's solve for 'd': d = 22 - g.

Now substitute this value of 'd' into the second equation: 2(22 - g) + 4g = 60.

Simplifying the equation: 44 - 2g + 4g = 60.

Combine like terms: 2g = 16.

Dividing both sides by 2: g = 8.

We have found that the number of dogs is 8. Now substitute this value back into the first equation: d + 8 = 22.

Simplifying the equation: d = 22 - 8.

Therefore, the number of ducks is 14.

So, there were 14 ducks and 8 dogs at the park.