An animal shelter spends $2.50 per day to care for each cat and $4.50 per day to care for each dog. Adrian noticed that the shelter spent $126.50 caring for cats and dogs on Thursday. Adrian found a record showing that there were a total of 33 cats and dogs on Thursday. How many cats were at the shelter on Thursday?

11 cats

Step-by-step explanation:

I did trial and error.

I started with 16 cats and 17 dogs, so:

(16x$2.5) + (17x$4.5) = $116.5

The value is too low which means that they spent more money on the expensive side (i.e., dogs).

I ended up with 11 cats and 22 dogs, so:

(11x$2.5) + (22x$4.5) = $126.5

the solution is x=1

step-by-step explanation:

we are given our   equation as

let's assume

left side function is

right side function is

now, we can draw graph

and then we can get intersection point

the intersection point will be solution

so, the solution is

x=1