Question

Paws at play made a total of $1,234 grooming 22 dogs. Paws at play charges $43 to groom each small dog and $75 for each large dog. Write a system of equations that can be used to determine the number of small and large dogs that were groomed

Answer 1

Explanation:

We are asked to write a system of equations using our given information.

Let x be number of small dogs and y be number of large dogs.

We have been given that paws at play made a total of $1,234 grooming 22 dogs, which means that number of small dogs and large dogs is 22. We can represent this information as:

`x+y=22...(1)`

We have been given that paws at play charges $43 to groom each small dog and $75 for each large dog. So the total grooming charges for grooming x small and y large dogs will be 43x+75y, that is equal to total charges for grooming $1234.

We can represent this information as:

`43x+75y=1234...(2)`

Therefore, our desired system of equations is:

`x+y=22...(1)`

`43x+75y=1234...(2)`