Answer:the were 2 cats at the shelter on Friday.
Step-by-step explanation:
Let x represent the number of cats at the shelter on Friday.
Let y represent the number of dogs at the shelter on Friday.
Amelia found a record showing that there were a total of 6 cats and dogs on Friday. This means that
x + y = 6
An animal shelter spends $2.00 per day to care for each cat and $6.50 per day to care for each dog. Amelia noticed that the shelter spent $30.00 caring for cats and dogs on Friday. This means that
2x + 6.5y = 30- - - - - - - - - - - - -1
Substituting x = 6 - y into equation 1, it becomes
2(6 - y) + 6.5y = 30
12 - 2y + 6.5y = 30
- 2y + 6.5y = 30 - 12
4.5y = 18
y = 18/4.5
y = 4
x = 6 - y = 6 - 4
x = 2
