Question

An animal shelter spends 2.50 per day to care for each cat 7.00 per day to care for each dog. Mathew noticed that the shelter spent 82.50 caring for cats and dogs on Friday. Mathew found a record showing that there were a total of 24 cats and dogs on Friday. How many cats at the shelter on Friday

Answer 1

This is a multi step problem. For this we do system of equations.

2.5x + 7y = 82.50
X+y = 24

To do the elimination method we have to make the y values equals to each other so we multiply the x+y=24 equation by 7

7x +7y = 168
-
2.5x + 7y = 82.50
———————————-
4.5x = 85.50
————————-
4.5. 4.5

X = 19

19 cats on Friday