An animal shelter spends $1.50 per day to care for each cat and $3.50 per day to care for each dog. amelia noticed that the shelter spent $57.50 caring for cats and dogs on wednesday. amelia found a record showing that there were a total of 29 cats and dogs on wednesday. how many cats were at the shelter on wednesday?

On Wednesday there are 22 cats at the shelter.

Step-by-step explanation:

Let c= cats and d=dogs on Wednesday,  from the given question,

c + d = 29 as equation (i)  

1.5c + 3.5d = 57.50 as equation (ii)

By solving (i) and (ii)

(c + d =29) × 1.5 = 1.5c + 1.5d = 43.5

(1.5c + 3.5d = 57.50) × 1 = 1.5c + 3.5d = 57.50

By solving we get d = 7

For c substitute the c value of d into 1.5c + 3.5d = 57.50  

1.5 c + 3.5 (7) = 57.50  

1.5c + 24.5 = 57.50  

We get c = 22, d = 7

Therefore, we came to know that there were 22 cats and 7 dogs.