Question

You take a walk and notice dogs in the dog park. There are a total of 8 small and large dogs. You realize there are 2 more large dogs than small dogs. How many are there of large and small dogs?

Answer 1

There are 5 large dogs and 3 small dogs

Solution:

Let "S" be the number of small dogs

Let "L" be the number of large dogs

Given that There are a total of 8 small and large dogs

So we can frame a equation as:

number of small dogs + number of large dogs = 8

S + L = 8 ------- eqn 1

You realize there are 2 more large dogs than small dogs

Number of large dogs = 2 + number of small dogs

L = 2 + S  -------- eqn 2

Let us solve eqn 1 and eqn 2 to find values of "L" and "S"

Substitute eqn 2 in eqn 1

S + 2 + S = 8

2S + 2 = 8

2S = 6

S = 3

Substitute S = 3 in eqn 2

L = 2 + 3 = 5

L = 5

Thus there are 5 large dogs and 3 small dogs