Question

Evan went to the park and saw four animals.

Answer 1

Answer:

He saw 1 duck and 3 dogs.

Step-by-step 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.