Question

Evan went to the park and saw four animals.

Each animal was either a duck or a dog. If he saw a total of 14 legs, How many of each animal did he see.

Answer 1

He saw 1 duck and 3 dogs.

Explanation:

Given:

Evan went to the park and saw four animals.

Each animal was either a duck or a dog.

He saw a total of 14 legs.

Now, to find the number of each animal he had seen.

Let the number of duck be
`x.`

And the number of dog be
`y.`

So, total number of animals:

`x+y=4\\y=4-x`

Now, the total number of legs he did see:

As we know the legs of a duck are 2 and a dog are 4.

`2x+4y=14\\2x+4(4-x)=14\\2x+16-4x=14\\-2x+16=14`

Adding both sides by -16 we get:

`-2x=-2`

Dividing both sides by -2 we get:

`x=1`

The number of duck = 1.

Now, putting the value of
`x` in above equation we get:

`y=4-x`

`y=4-1\\y=3.`

The number of dogs = 3.

Therefore, he saw 1 duck and 3 dogs.