An animal shelter spends $1.00 per day to care for each cat and $8.00 per day to care for each dog. Mackenzie noticed that the shelter spent $136.00 caring for cats and dogs on Tuesday. Mackenzie found a record showing that there were a total of 24 cats and dogs on Tuesday. How many cats were at the shelter on Tuesday?

Work Shown:

c = number of cats

d = number of dogs

c+d = 24 total animals

c = 24-d ... subtract d from both sides

1c = cost in dollars to care for c number of cats

8d = cost in dollars to care for d number of dogs

c+8d = total cost = 136

c+8d = 136

24-d+8d = 136 ... replace c with 24-d

7d+24 = 136

7d+24-24 = 136-24 ... subtract 24 from both sides

7d = 112

7d/7 = 112/7 divide both sides by 7

d = 16

There are 16 dogs.

c = 24-d

c = 24-16

c = 8

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