An animal shelter spends $3.00 per day for each cat and $5.50 per day for each dog. nick noticed that the shelter spent $164.50 caring for cats and dogs on wednesday. nick found a record showing that there were a total of 34 cats and dogs on wednesday. how many cats were at the shelter on wednesday?

There were 9 cats at the shelter on Wednesday.

Step-by-step explanation:

Given:

An animal shelter spends $3.00 per day for each cat and $5.50 per day for each dog.

Nick noticed that the shelter spent $164.50 caring for cats and dogs on Wednesday.

Nick found a record showing that there were a total of 34 cats and dogs on Wednesday.

Now, to find the number of cats at the shelter on Wednesday.

Let the number of cats be .

And let the number of  dogs be .

So, total number of dogs:

......( 1 )

As given animal shelter spends $3.00 per day for each cat and $5.50 per day for each dog.

Now, total money animal shelter spent on Wednesday:

Putting the value of equation ( 1 ) in the place of :

⇒

⇒

⇒

Adding on both the sides we get:

⇒

Subtracting 164.50 on both sides we get:

⇒

Dividing by 2.50 on both sides we get:

⇒

⇒

The number of cats = 9.

Therefore, there were 9 cats at the shelter on Wednesday.

there are a some missing symbols and signs and it makes it difficult to comprehend the answer

step-by-step explanation: