Question

An animal shelter spends $2.35 per day for each cat and $5.50 per day to care for each dog. Pat noticed that the shelter spent $89.50 caring for cats and dogs on Wednesday. (A) write an equation to represent the possible numbers of cats and dogs that could have been at the shelter on Wednesday. (b) pat said that there might have been 8 cats and 14 dogs at the shelter on Wednesday. Are pats numbers possible? Use your equation to verify your answer

Answer 1

Lets use the letter C to represent cats and D to represent dogs.

A)     2.35c + 5.50d = 89.50

For B, they give you numbers to plug into your equation.
c = 8
d= 14

B) 2.35(8) + 5.50(14) = 89.50
     18.80 + 77.00 = 95.80

So what Pat said is incorrect because that would mean they spent more than 89.50.

Hope this helps! :)